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100472240635155 = 32523173561125021
BaseRepresentation
bin10110110110000100000100…
…001101100111110100010011
3111011202001102012101101202100
4112312010010031213310103
5101132114122100311110
6553404150554251443
730106610533254024
oct2666040415476423
9434661365341670
10100472240635155
112a017046594a34
12b32823a126b83
13440a651189c3c
141ab4c4d404c4b
15b937a8370bc0
hex5b6104367d13

100472240635155 has 48 divisors (see below), whose sum is σ = 182774131166016. Its totient is φ = 50959129816320.

The previous prime is 100472240635153. The next prime is 100472240635163. The reversal of 100472240635155 is 551536042274001.

100472240635155 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 2 + 2 + 4 + 0 + 635 + 1 + 5 + 5 = 666.

It is not a de Polignac number, because 100472240635155 - 21 = 100472240635153 is a prime.

It is a super-2 number, since 2×1004722406351552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 100472240635155.

It is not an unprimeable number, because it can be changed into a prime (100472240635153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280383456 + ... + 280741565.

It is an arithmetic number, because the mean of its divisors is an integer number (3807794399292).

Almost surely, 2100472240635155 is an apocalyptic number.

100472240635155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100472240635155 is a deficient number, since it is larger than the sum of its proper divisors (82301890530861).

100472240635155 is a wasteful number, since it uses less digits than its factorization.

100472240635155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561125228 (or 561125225 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 100472240635155 in words is "one hundred trillion, four hundred seventy-two billion, two hundred forty million, six hundred thirty-five thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 23 45 69 115 173 207 345 519 865 1035 1557 2595 3979 7785 11937 19895 35811 59685 179055 561125021 1683375063 2805625105 5050125189 8416875315 12905875483 25250625945 38717626449 64529377415 97074628633 116152879347 193588132245 291223885899 485373143165 580764396735 873671657697 1456119429495 2232716458559 4368358288485 6698149375677 11163582292795 20094448127031 33490746878385 100472240635155