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323131140210420 = 2232534929297175573
BaseRepresentation
bin100100101111000101101010…
…0110100111111111011110100
31120101010000221202010022020100
41021132023110310333323310
5314323140033343213140
63103124221351434100
7125030311612252053
oct11136132464777364
91511100852108210
10323131140210420
1193a61168701323
12302a8b91085930
1310b3c19c3ac499
1459b18b866039a
1527555b0e27530
hex125e2d4d3fef4

323131140210420 has 144 divisors (see below), whose sum is σ = 983012103637200. Its totient is φ = 85917981339648.

The previous prime is 323131140210407. The next prime is 323131140210509. The reversal of 323131140210420 is 24012041131323.

323131140210420 is a `hidden beast` number, since 3 + 2 + 3 + 13 + 1 + 14 + 0 + 210 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5398875308304 + 317732264902116 = 2323548^2 + 17825046^2 .

It is a super-2 number, since 2×3231311402104202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840349754 + ... + 1840525326.

It is an arithmetic number, because the mean of its divisors is an integer number (6826472941925).

Almost surely, 2323131140210420 is an apocalyptic number.

323131140210420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323131140210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491506051818600).

323131140210420 is an abundant number, since it is smaller than the sum of its proper divisors (659880963426780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323131140210420 is a wasteful number, since it uses less digits than its factorization.

323131140210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205234 (or 205229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 323131140210420 its reverse (24012041131323), we get a palindrome (347143181341743).

The spelling of 323131140210420 in words is "three hundred twenty-three trillion, one hundred thirty-one billion, one hundred forty million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1396 1745 2094 3141 3490 4188 5235 6282 6980 10470 12564 15705 20940 29297 31410 58594 62820 87891 117188 146485 175573 175782 263673 292970 351146 351564 439455 526719 527346 585940 702292 877865 878910 1053438 1054692 1318365 1580157 1755730 1757820 2106876 2633595 2636730 3160314 3511460 5267190 5273460 6320628 7900785 10224653 10534380 15801570 20449306 30673959 31603140 40898612 51123265 61274977 61347918 92021877 102246530 122549954 122695836 153369795 183824931 184043754 204493060 245099908 306374885 306739590 367649862 368087508 460109385 551474793 612749770 613479180 735299724 919124655 920218770 1102949586 1225499540 1838249310 1840437540 2205899172 2757373965 3676498620 5143762181 5514747930 10287524362 11029495860 15431286543 20575048724 25718810905 30862573086 46293859629 51437621810 61725146172 77156432715 92587719258 102875243620 154312865430 185175438516 231469298145 308625730860 462938596290 925877192580 1795173001169 3590346002338 5385519003507 7180692004676 8975865005845 10771038007014 16156557010521 17951730011690 21542076014028 26927595017535 32313114021042 35903460023380 53855190035070 64626228042084 80782785052605 107710380070140 161565570105210 323131140210420