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101534356881 = 3217365211533
BaseRepresentation
bin101111010001111101…
…0110101010110010001
3100201002002210202012100
41132203322311112101
53130420243410011
6114351053351013
710223054536116
oct1364372652621
9321062722170
10101534356881
113a073552141
1217817798469
139761670b19
144cb2b4890d
152993cbdd56
hex17a3eb5591

101534356881 has 12 divisors (see below), whose sum is σ = 147508489908. Its totient is φ = 67298301024.

The previous prime is 101534356843. The next prime is 101534356883. The reversal of 101534356881 is 188653435101.

101534356881 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 4 + 3 + 568 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87010250625 + 14524106256 = 294975^2 + 120516^2 .

It is not a de Polignac number, because 101534356881 - 27 = 101534356753 is a prime.

It is a super-2 number, since 2×1015343568812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101534356883) 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, 32604210 + ... + 32607323.

It is an arithmetic number, because the mean of its divisors is an integer number (12292374159).

Almost surely, 2101534356881 is an apocalyptic number.

It is an amenable number.

101534356881 is a deficient number, since it is larger than the sum of its proper divisors (45974133027).

101534356881 is a wasteful number, since it uses less digits than its factorization.

101534356881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65211712 (or 65211709 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 101534356881 in words is "one hundred one billion, five hundred thirty-four million, three hundred fifty-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 173 519 1557 65211533 195634599 586903797 11281595209 33844785627 101534356881