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131031401233230 = 23351074535527907
BaseRepresentation
bin11101110010110000100000…
…000111111111101101001110
3122011221110221122101122021000
4131302300200013333231032
5114133304302203430410
61142402554505521130
736412464162426441
oct3562604007775516
9564843848348230
10131031401233230
1138829118018443
121284291b1a31a6
1358162923069b4
14244dd4cba3658
151023662973dc0
hex772c201ffb4e

131031401233230 has 64 divisors (see below), whose sum is σ = 352682650126080. Its totient is φ = 34615148978592.

The previous prime is 131031401233193. The next prime is 131031401233241. The reversal of 131031401233230 is 32332104130131.

131031401233230 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 1 + 401 + 23 + 3 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131031401233194 and 131031401233203.

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, 2267735064 + ... + 2267792843.

It is an arithmetic number, because the mean of its divisors is an integer number (5510666408220).

Almost surely, 2131031401233230 is an apocalyptic number.

131031401233230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131031401233230 is an abundant number, since it is smaller than the sum of its proper divisors (221651248892850).

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

131031401233230 is a wasteful number, since it uses less digits than its factorization.

131031401233230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535528030 (or 4535528024 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131031401233230 its reverse (32332104130131), we get a palindrome (163363505363361).

The spelling of 131031401233230 in words is "one hundred thirty-one trillion, thirty-one billion, four hundred one million, two hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4815 5778 9630 14445 28890 4535527907 9071055814 13606583721 22677639535 27213167442 40819751163 45355279070 68032918605 81639502326 122459253489 136065837210 204098755815 244918506978 408197511630 485301486049 612296267445 970602972098 1224592534890 1455904458147 2426507430245 2911808916294 4367713374441 4853014860490 7279522290735 8735426748882 13103140123323 14559044581470 21838566872205 26206280246646 43677133744410 65515700616615 131031401233230