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231301233100 = 225273182112983
BaseRepresentation
bin1101011101101010100…
…0001011100111001100
3211010000210002002010001
43113122220023213030
512242201103424400
6254131444054044
722465601020240
oct3273250134714
9733023062101
10231301233100
118a104574993
12389b2394324
1318a72161592
14b2a328c420
15603b433a6a
hex35daa0b9cc

231301233100 has 144 divisors (see below), whose sum is σ = 592898052096. Its totient is φ = 76645728000.

The previous prime is 231301233083. The next prime is 231301233101. The reversal of 231301233100 is 1332103132.

It is a super-2 number, since 2×2313012331002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231301233101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17809209 + ... + 17822191.

It is an arithmetic number, because the mean of its divisors is an integer number (4117347584).

Almost surely, 2231301233100 is an apocalyptic number.

231301233100 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 231301233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296449026048).

231301233100 is an abundant number, since it is smaller than the sum of its proper divisors (361596818996).

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

231301233100 is a wasteful number, since it uses less digits than its factorization.

231301233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 231301233100 its reverse (1332103132), we get a palindrome (232633336232).

The spelling of 231301233100 in words is "two hundred thirty-one billion, three hundred one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 821 868 1085 1550 1642 2170 3100 3284 4105 4340 5425 5747 8210 10850 11494 12983 16420 20525 21700 22988 25451 25966 28735 41050 50902 51932 57470 64915 82100 90881 101804 114940 127255 129830 143675 178157 181762 254510 259660 287350 324575 356314 363524 402473 454405 509020 574700 636275 649150 712628 804946 890785 908810 1272550 1298300 1609892 1781570 1817620 2012365 2272025 2545100 2817311 3563140 4024730 4453925 4544050 5634622 8049460 8907850 9088100 10061825 10659043 11269244 14086555 17815700 20123650 21318086 28173110 40247300 42636172 53295215 56346220 70432775 74613301 106590430 140865550 149226602 213180860 266476075 281731100 298453204 330430333 373066505 532952150 660860666 746133010 1065904300 1321721332 1492266020 1652151665 1865332525 2313012331 3304303330 3730665050 4626024662 6608606660 7461330100 8260758325 9252049324 11565061655 16521516650 23130123310 33043033300 46260246620 57825308275 115650616550 231301233100