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113431603131 = 327111753181667
BaseRepresentation
bin110100110100100001…
…1001110011110111011
3101211210020120110220100
41221221003032132323
53324301442300011
6124035412530443
711123640501210
oct1515103163673
9354706513810
10113431603131
1144119201360
1219b98020a23
13a9094395c2
1456c0c59b07
152e3d4e3d56
hex1a690ce7bb

113431603131 has 96 divisors (see below), whose sum is σ = 220373457408. Its totient is φ = 54412600320.

The previous prime is 113431603091. The next prime is 113431603133. The reversal of 113431603131 is 131306134311.

113431603131 is a `hidden beast` number, since 1 + 1 + 3 + 43 + 1 + 603 + 13 + 1 = 666.

It is not a de Polignac number, because 113431603131 - 27 = 113431603003 is a prime.

It is a super-2 number, since 2×1134316031312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113431603095 and 113431603104.

It is not an unprimeable number, because it can be changed into a prime (113431603133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533560 + ... + 715226.

It is an arithmetic number, because the mean of its divisors is an integer number (2295556848).

Almost surely, 2113431603131 is an apocalyptic number.

113431603131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113431603131 is a deficient number, since it is larger than the sum of its proper divisors (106941854277).

113431603131 is a wasteful number, since it uses less digits than its factorization.

113431603131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181761 (or 181758 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113431603131 its reverse (131306134311), we get a palindrome (244737737442).

The spelling of 113431603131 in words is "one hundred thirteen billion, four hundred thirty-one million, six hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 17 21 33 51 53 63 77 99 119 153 159 187 231 357 371 477 561 583 693 901 1071 1113 1309 1683 1749 2703 3339 3927 4081 5247 6307 8109 9911 11781 12243 18921 29733 36729 56763 69377 89199 181667 208131 545001 624393 1271669 1635003 1998337 3088339 3815007 5995011 9265017 9628351 11445021 13988359 17985033 21618373 27795051 28885053 33971729 41965077 64855119 67398457 86655159 101915187 105911861 125895231 163681967 194565357 202195371 237802103 305745561 317735583 491045901 606586113 713406309 741383027 953206749 1145773769 1473137703 1800501637 2140218927 2224149081 3437321307 5401504911 6672447243 10311963921 12603511459 16204514733 37810534377 113431603131