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101116404531 = 32311409257221
BaseRepresentation
bin101111000101100000…
…0011110001100110011
3100122222222100120100200
41132023000132030303
53124041244421111
6114241403250243
710206521154132
oct1361300361463
9318888316320
10101116404531
113997963537a
121771b819983
1396c5bb513c
144c7342d919
15296c261256
hex178b01e333

101116404531 has 24 divisors (see below), whose sum is σ = 150876136320. Its totient is φ = 65189836800.

The previous prime is 101116404511. The next prime is 101116404539. The reversal of 101116404531 is 135404611101.

101116404531 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 640 + 4 + 5 + 3 + 1 = 666.

It is not a de Polignac number, because 101116404531 - 214 = 101116388147 is a prime.

It is a super-2 number, since 2×1011164045312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101116404495 and 101116404504.

It is not an unprimeable number, because it can be changed into a prime (101116404539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264501 + ... + 521721.

It is an arithmetic number, because the mean of its divisors is an integer number (6286505680).

Almost surely, 2101116404531 is an apocalyptic number.

101116404531 is a deficient number, since it is larger than the sum of its proper divisors (49759731789).

101116404531 is a wasteful number, since it uses less digits than its factorization.

101116404531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258667 (or 258664 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 101116404531 in words is "one hundred one billion, one hundred sixteen million, four hundred four thousand, five hundred thirty-one".

Divisors: 1 3 9 31 93 279 1409 4227 12681 43679 131037 257221 393111 771663 2314989 7973851 23921553 71764659 362424389 1087273167 3261819501 11235156059 33705468177 101116404531