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20323131000 = 233538381619
BaseRepresentation
bin10010111011010110…
…100101111001111000
31221110100120000122120
4102323112211321320
5313110210143000
613200351121240
71316424522534
oct227326457170
957410500576
1020323131000
118689972137
123b32213220
131bbb614003
14dab19abc4
157de2e86a0
hex4bb5a5e78

20323131000 has 128 divisors (see below), whose sum is σ = 64172908800. Its totient is φ = 5354140800.

The previous prime is 20323130999. The next prime is 20323131011. The reversal of 20323131000 is 13132302.

It is a super-2 number, since 2×203231310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208191 + ... + 289809.

It is an arithmetic number, because the mean of its divisors is an integer number (501350850).

Almost surely, 220323131000 is an apocalyptic number.

20323131000 is a gapful number since it is divisible by the number (20) 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 20323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32086454400).

20323131000 is an abundant number, since it is smaller than the sum of its proper divisors (43849777800).

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

20323131000 is a wasteful number, since it uses less digits than its factorization.

20323131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81726 (or 81712 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20323131000 its reverse (13132302), we get a palindrome (20336263302).

The spelling of 20323131000 in words is "twenty billion, three hundred twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12450 16600 20750 24900 31125 41500 49800 62250 81619 83000 124500 163238 244857 249000 326476 408095 489714 652952 816190 979428 1224285 1632380 1958856 2040475 2448570 3264760 4080950 4897140 6121425 6774377 8161900 9794280 10202375 12242850 13548754 16323800 20323131 20404750 24485700 27097508 30607125 33871885 40646262 40809500 48971400 54195016 61214250 67743770 81292524 81619000 101615655 122428500 135487540 162585048 169359425 203231310 244857000 270975080 338718850 406462620 508078275 677437700 812925240 846797125 1016156550 1354875400 1693594250 2032313100 2540391375 3387188500 4064626200 5080782750 6774377000 10161565500 20323131000