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31073540431 = 2331131313879
BaseRepresentation
bin11100111100001000…
…001001100101001111
32222012120100101222211
4130330020021211033
51002114311243211
622135221451251
72150013510223
oct347410114517
988176311884
1031073540431
11121a622692a
126032570b27
132c1291041b
14170ac5a783
15c1ced4e21
hex73c20994f

31073540431 has 16 divisors (see below), whose sum is σ = 32635100160. Its totient is φ = 29530163520.

The previous prime is 31073540413. The next prime is 31073540437. The reversal of 31073540431 is 13404537013.

It is a cyclic number.

It is not a de Polignac number, because 31073540431 - 213 = 31073532239 is a prime.

It is a super-2 number, since 2×310735404312 (a number of 22 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 = 31073540393 and 31073540402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31073540437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231950 + ... + 2245828.

It is an arithmetic number, because the mean of its divisors is an integer number (2039693760).

Almost surely, 231073540431 is an apocalyptic number.

31073540431 is a deficient number, since it is larger than the sum of its proper divisors (1561559729).

31073540431 is a wasteful number, since it uses less digits than its factorization.

31073540431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14526.

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 31073540431 in words is "thirty-one billion, seventy-three million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 23 311 313 7153 7199 13879 97343 319217 2238889 4316369 4344127 99276487 99914921 1351023497 31073540431