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101131240131 = 3219591410761
BaseRepresentation
bin101111000101111100…
…1000100001011000011
3100200001000021021222100
41132023321010023003
53124104044141011
6114243053241443
710210061233455
oct1361371041303
9320030237870
10101131240131
1139986a485a9
1217724793283
1396c8caa9bc
144c753b22d5
15296d6e1d56
hex178be442c3

101131240131 has 12 divisors (see below), whose sum is σ = 153766798120. Its totient is φ = 63872362080.

The previous prime is 101131240127. The next prime is 101131240193. The reversal of 101131240131 is 131042131101.

It is a happy number.

101131240131 is a `hidden beast` number, since 101 + 131 + 2 + 401 + 31 = 666.

It is not a de Polignac number, because 101131240131 - 22 = 101131240127 is a prime.

It is a super-2 number, since 2×1011312401312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131240121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295705210 + ... + 295705551.

Almost surely, 2101131240131 is an apocalyptic number.

101131240131 is a deficient number, since it is larger than the sum of its proper divisors (52635557989).

101131240131 is a wasteful number, since it uses less digits than its factorization.

101131240131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591410786 (or 591410783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101131240131 its reverse (131042131101), we get a palindrome (232173371232).

The spelling of 101131240131 in words is "one hundred one billion, one hundred thirty-one million, two hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 591410761 1774232283 5322696849 11236804459 33710413377 101131240131