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112434031431 = 32431447200779
BaseRepresentation
bin110100010110110010…
…1110010101101000111
3101202012201110120210100
41220231211302231013
53320231103001211
6123352415255143
711060135333001
oct1505545625507
9352181416710
10112434031431
1143757096a37
1219959b1a4b3
13a7aa86c7a7
145628581371
152dd0b42156
hex1a2d972b47

112434031431 has 24 divisors (see below), whose sum is σ = 166297239680. Its totient is φ = 73161896976.

The previous prime is 112434031399. The next prime is 112434031441. The reversal of 112434031431 is 134130434211.

112434031431 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 340 + 314 + 3 + 1 = 666.

It is not a de Polignac number, because 112434031431 - 25 = 112434031399 is a prime.

It is a super-2 number, since 2×1124340314312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112434031395 and 112434031404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112434031441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459600 + ... + 660378.

Almost surely, 2112434031431 is an apocalyptic number.

112434031431 is a deficient number, since it is larger than the sum of its proper divisors (53863208249).

112434031431 is a wasteful number, since it uses less digits than its factorization.

112434031431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202275 (or 202272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 112434031431 its reverse (134130434211), we get a palindrome (246564465642).

The spelling of 112434031431 in words is "one hundred twelve billion, four hundred thirty-four million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 43 129 387 1447 4341 13023 62221 186663 200779 559989 602337 1807011 8633497 25900491 77701473 290527213 871581639 2614744917 12492670159 37478010477 112434031431