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31132220031 = 3211437313183
BaseRepresentation
bin11100111111100111…
…111111101001111111
32222100122202122021100
4130333213333221333
51002224322020111
622145115304143
72151325334613
oct347747775177
988318678240
1031132220031
1112226365770
12604a14b053
132c21b17393
141714973343
15c23226756
hex73f9ffa7f

31132220031 has 24 divisors (see below), whose sum is σ = 50197694976. Its totient is φ = 18429218640.

The previous prime is 31132220027. The next prime is 31132220047. The reversal of 31132220031 is 13002223113.

31132220031 is a `hidden beast` number, since 311 + 322 + 2 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 31132220031 - 22 = 31132220027 is a prime.

It is a super-2 number, since 2×311322200312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31132219986 and 31132220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132222031) 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, 3652335 + ... + 3660848.

It is an arithmetic number, because the mean of its divisors is an integer number (2091570624).

Almost surely, 231132220031 is an apocalyptic number.

31132220031 is a deficient number, since it is larger than the sum of its proper divisors (19065474945).

31132220031 is a wasteful number, since it uses less digits than its factorization.

31132220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313243 (or 7313240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31132220031 its reverse (13002223113), we get a palindrome (44134443144).

The spelling of 31132220031 in words is "thirty-one billion, one hundred thirty-two million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 7313183 21939549 65818647 80445013 241335039 314466869 724005117 943400607 2830201821 3459135559 10377406677 31132220031