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31221022133 = 723738944269
BaseRepresentation
bin11101000100111010…
…101111110110110101
32222120211212020212002
4131010322233312311
51002420040202013
622202010505045
72153454211100
oct350472576665
988524766762
1031221022133
11122714a9034
126073a35185
132c37339cc2
14172268b737
15c2ae18358
hex744eafdb5

31221022133 has 24 divisors (see below), whose sum is σ = 37396639800. Its totient is φ = 25970087808.

The previous prime is 31221022127. The next prime is 31221022163. The reversal of 31221022133 is 33122012213.

It can be written as a sum of positive squares in 4 ways, for example, as 16443702289 + 14777319844 = 128233^2 + 121562^2 .

It is not a de Polignac number, because 31221022133 - 224 = 31204244917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221022163) 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, 683123 + ... + 727391.

It is an arithmetic number, because the mean of its divisors is an integer number (1558193325).

Almost surely, 231221022133 is an apocalyptic number.

It is an amenable number.

31221022133 is a deficient number, since it is larger than the sum of its proper divisors (6175617667).

31221022133 is a wasteful number, since it uses less digits than its factorization.

31221022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44709 (or 44702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31221022133 its reverse (33122012213), we get a palindrome (64343034346).

The spelling of 31221022133 in words is "thirty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 37 49 259 389 1813 2723 14393 19061 44269 100751 309883 705257 1637953 2169181 11465671 17220641 80259697 120544487 637163717 843811409 4460146019 31221022133