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100928301110 = 257131011098121
BaseRepresentation
bin101110111111111001…
…0111010100000110110
3100122111212101220222022
41131333302322200312
53123200121113420
6114211003433142
710202045255510
oct1357762724066
9318455356868
10100928301110
11398924384aa
12176888257b2
139695c34a40
144c56466bb0
15295a9a6c25
hex177fcba836

100928301110 has 64 divisors (see below), whose sum is σ = 225809023104. Its totient is φ = 31625856000.

The previous prime is 100928301107. The next prime is 100928301179. The reversal of 100928301110 is 11103829001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100928301110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457151 + ... + 640970.

It is an arithmetic number, because the mean of its divisors is an integer number (3528265986).

Almost surely, 2100928301110 is an apocalyptic number.

100928301110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100928301110 is an abundant number, since it is smaller than the sum of its proper divisors (124880721994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100928301110 is a wasteful number, since it uses less digits than its factorization.

100928301110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098249.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 100928301110 in words is "one hundred billion, nine hundred twenty-eight million, three hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 101 130 182 202 455 505 707 910 1010 1313 1414 2626 3535 6565 7070 9191 13130 18382 45955 91910 1098121 2196242 5490605 7686847 10981210 14275573 15373694 28551146 38434235 71377865 76868470 99929011 110910221 142755730 199858022 221820442 499645055 554551105 776371547 999290110 1109102210 1441832873 1552743094 2883665746 3881857735 7209164365 7763715470 10092830111 14418328730 20185660222 50464150555 100928301110