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131103113000202 = 23272769193293869
BaseRepresentation
bin11101110011110011010010…
…011110101011010100001010
3122012012100001100201211222100
4131303303102132223110022
5114140443133412001302
61142455534425534230
736420613233410400
oct3563632236532412
9565170040654870
10131103113000202
113885657748a362
12128547b3344376
13581cc8028a7c5
1424535d2c85470
15102545d4aed1c
hex773cd27ab50a

131103113000202 has 72 divisors (see below), whose sum is σ = 330863050217700. Its totient is φ = 37409322037248.

The previous prime is 131103113000173. The next prime is 131103113000257. The reversal of 131103113000202 is 202000311301131.

131103113000202 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 311 + 300 + 0 + 20 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123045752574801 + 8057360425401 = 11092599^2 + 2838549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95968677 + ... + 97325192.

Almost surely, 2131103113000202 is an apocalyptic number.

131103113000202 is an abundant number, since it is smaller than the sum of its proper divisors (199759937217498).

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

131103113000202 is a wasteful number, since it uses less digits than its factorization.

131103113000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193294660 (or 193294650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131103113000202 its reverse (202000311301131), we get a palindrome (333103424301333).

The spelling of 131103113000202 in words is "one hundred thirty-one trillion, one hundred three billion, one hundred thirteen million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 769 882 1538 2307 4614 5383 6921 10766 13842 16149 32298 37681 48447 75362 96894 113043 226086 339129 678258 193293869 386587738 579881607 1159763214 1353057083 1739644821 2706114166 3479289642 4059171249 8118342498 9471399581 12177513747 18942799162 24355027494 28414198743 56828397486 85242596229 148642985261 170485192458 297285970522 445928955783 891857911566 1040500896827 1337786867349 2081001793654 2675573734698 3121502690481 6243005380962 7283506277789 9364508071443 14567012555578 18729016142886 21850518833367 43701037666734 65551556500101 131103113000202