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10131131122 = 272127814007
BaseRepresentation
bin10010110111101110…
…01100101011110010
3222011001111210012121
421123313030223302
5131222032143442
64353145144454
7506026123300
oct113367145362
928131453177
1010131131122
114329839842
121b68a8b12a
13c55c10a58
146c1739270
153e4661967
hex25bdccaf2

10131131122 has 24 divisors (see below), whose sum is σ = 17817007104. Its totient is φ = 4307719752.

The previous prime is 10131131117. The next prime is 10131131141. The reversal of 10131131122 is 22113113101.

It is a happy number.

It is a super-2 number, since 2×101311311222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131131096 and 10131131105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394558 + ... + 419449.

It is an arithmetic number, because the mean of its divisors is an integer number (742375296).

Almost surely, 210131131122 is an apocalyptic number.

10131131122 is a deficient number, since it is larger than the sum of its proper divisors (7685875982).

10131131122 is a wasteful number, since it uses less digits than its factorization.

10131131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814150 (or 814143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10131131122 its reverse (22113113101), we get a palindrome (32244244223).

The spelling of 10131131122 in words is "ten billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 49 98 127 254 889 1778 6223 12446 814007 1628014 5698049 11396098 39886343 79772686 103378889 206757778 723652223 1447304446 5065565561 10131131122