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31122220131 = 3210333573053
BaseRepresentation
bin11100111111000001…
…110110010001100011
32222022221221120222200
4130333001312101203
51002214242021011
622144121104243
72151144335442
oct347701662143
988287846880
1031122220131
1112220755692
126046928083
132c1ca25892
1417134ccd59
15c223ed856
hex73f076463

31122220131 has 12 divisors (see below), whose sum is σ = 45390769008. Its totient is φ = 20546707824.

The previous prime is 31122220121. The next prime is 31122220133. The reversal of 31122220131 is 13102222113.

31122220131 is a `hidden beast` number, since 311 + 2 + 2 + 220 + 131 = 666.

It is not a de Polignac number, because 31122220131 - 214 = 31122203747 is a prime.

It is a super-2 number, since 2×311222201312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31122220133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16785600 + ... + 16787453.

It is an arithmetic number, because the mean of its divisors is an integer number (3782564084).

Almost surely, 231122220131 is an apocalyptic number.

31122220131 is a deficient number, since it is larger than the sum of its proper divisors (14268548877).

31122220131 is a wasteful number, since it uses less digits than its factorization.

31122220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33573162 (or 33573159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31122220131 its reverse (13102222113), we get a palindrome (44224442244).

The spelling of 31122220131 in words is "thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 103 309 927 33573053 100719159 302157477 3458024459 10374073377 31122220131