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101101132131 = 32313649107351
BaseRepresentation
bin101111000101000011…
…0001101100101100011
3100122221220121122120020
41132022012031211203
53124023342212011
6114240100044523
710206244305156
oct1361206154543
9318856548506
10101101132131
1139970a53a5a
1217716693743
1396c299880c
144c713b5c9d
15296ac46006
hex178a18d963

101101132131 has 16 divisors (see below), whose sum is σ = 140674060800. Its totient is φ = 64464963200.

The previous prime is 101101132103. The next prime is 101101132169. The reversal of 101101132131 is 131231101101.

It is a cyclic number.

It is not a de Polignac number, because 101101132131 - 210 = 101101131107 is a prime.

It is a super-2 number, since 2×1011011321312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101132131.

It is not an unprimeable number, because it can be changed into a prime (101101134131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888106 + ... + 995456.

It is an arithmetic number, because the mean of its divisors is an integer number (8792128800).

Almost surely, 2101101132131 is an apocalyptic number.

101101132131 is a deficient number, since it is larger than the sum of its proper divisors (39572928669).

101101132131 is a wasteful number, since it uses less digits than its factorization.

101101132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121026.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101101132131 its reverse (131231101101), we get a palindrome (232332233232).

The spelling of 101101132131 in words is "one hundred one billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 23 69 13649 40947 107351 313927 322053 941781 2469073 7407219 1465233799 4395701397 33700377377 101101132131