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22131032031 = 336411278733
BaseRepresentation
bin10100100111000111…
…001011111111011111
32010010100102220122000
4110213013023333133
5330311021011111
614100012453343
71412266445163
oct244707137737
963110386560
1022131032031
119427432a19
12435777a253
13211903c434
1410dd32cca3
15897db2c56
hex5271cbfdf

22131032031 has 16 divisors (see below), whose sum is σ = 32837889120. Its totient is φ = 14730992640.

The previous prime is 22131032023. The next prime is 22131032041. The reversal of 22131032031 is 13023013122.

22131032031 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 320 + 31 = 666.

It is not a de Polignac number, because 22131032031 - 23 = 22131032023 is a prime.

It is a super-2 number, since 2×221310320312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22131031995 and 22131032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131032041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622060 + ... + 656673.

It is an arithmetic number, because the mean of its divisors is an integer number (2052368070).

Almost surely, 222131032031 is an apocalyptic number.

22131032031 is a deficient number, since it is larger than the sum of its proper divisors (10706857089).

22131032031 is a wasteful number, since it uses less digits than its factorization.

22131032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279383 (or 1279377 counting only the distinct ones).

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

Adding to 22131032031 its reverse (13023013122), we get a palindrome (35154045153).

The spelling of 22131032031 in words is "twenty-two billion, one hundred thirty-one million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 27 641 1923 5769 17307 1278733 3836199 11508597 34525791 819667853 2459003559 7377010677 22131032031