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100806313026081 = 31323547205450859
BaseRepresentation
bin10110111010111011001100…
…011110101010001000100001
3111012220222201021112020000010
4112322323030132222020201
5101203102312113313311
6554221440401115133
730143005260604155
oct2672731436521041
9435828637466003
10100806313026081
112a1357987628a3
12b380b32328aa9
134432cc0c9a1c0
141ac70a178b065
15b9c30be2cda6
hex5baecc7aa221

100806313026081 has 32 divisors (see below), whose sum is σ = 151317023800320. Its totient is φ = 59229016951104.

The previous prime is 100806313026079. The next prime is 100806313026253. The reversal of 100806313026081 is 180620313608001.

It is not a de Polignac number, because 100806313026081 - 21 = 100806313026079 is a prime.

It is a super-2 number, since 2×1008063130260812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (100806313026031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102234771 + ... + 103216088.

It is an arithmetic number, because the mean of its divisors is an integer number (4728656993760).

Almost surely, 2100806313026081 is an apocalyptic number.

It is an amenable number.

100806313026081 is a deficient number, since it is larger than the sum of its proper divisors (50510710774239).

100806313026081 is a wasteful number, since it uses less digits than its factorization.

100806313026081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205451445.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 100806313026081 in words is "one hundred trillion, eight hundred six billion, three hundred thirteen million, twenty-six thousand, eighty-one".

Divisors: 1 3 13 23 39 69 299 547 897 1641 7111 12581 21333 37743 163553 490659 205450859 616352577 2670861167 4725369757 8012583501 14176109271 61429806841 112381619873 184289420523 337144859619 1460961058349 2584777257079 4382883175047 7754331771237 33602104342027 100806313026081