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106535435133 = 31511093921499
BaseRepresentation
bin110001100111000000…
…0011011101101111101
3101011222122012211211210
41203032000123231331
53221141032411013
6120535224035033
710461022154151
oct1431600335575
9334878184753
10106535435133
11411aa526266
1218792602a79
13a07a7b941a
14522900b061
152b87d89cc3
hex18ce01bb7d

106535435133 has 16 divisors (see below), whose sum is σ = 143007680000. Its totient is φ = 70543537200.

The previous prime is 106535435023. The next prime is 106535435159. The reversal of 106535435133 is 331534535601.

It is a de Polignac number, because none of the positive numbers 2k-106535435133 is a prime.

It is a super-2 number, since 2×1065354351332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106535435091 and 106535435100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106535435533) 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, 4944618 + ... + 4966116.

It is an arithmetic number, because the mean of its divisors is an integer number (8937980000).

Almost surely, 2106535435133 is an apocalyptic number.

It is an amenable number.

106535435133 is a deficient number, since it is larger than the sum of its proper divisors (36472244867).

106535435133 is a wasteful number, since it uses less digits than its factorization.

106535435133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32592.

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 106535435133 in words is "one hundred six billion, five hundred thirty-five million, four hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 151 453 10939 21499 32817 64497 1651789 3246349 4955367 9739047 235177561 705532683 35511811711 106535435133