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100585261473150 = 23523864011735421
BaseRepresentation
bin10110110111101101010100…
…110001111001110101111110
3111012010212010211000211211010
4112313231110301321311332
5101140442103414120100
6553532121535140050
730121021355446236
oct2667552461716576
9435125124024733
10100585261473150
112a05aa73938373
12b346120674626
1344181c348603c
141aba4d1896cc6
15b966c0776750
hex5b7b54c79d7e

100585261473150 has 48 divisors (see below), whose sum is σ = 249452237771568. Its totient is φ = 26822651520000.

The previous prime is 100585261473131. The next prime is 100585261473187. The reversal of 100585261473150 is 51374162585001.

It is a self number, because there is not a number n which added to its sum of digits gives 100585261473150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57092440 + ... + 58827860.

It is an arithmetic number, because the mean of its divisors is an integer number (5196921620241).

Almost surely, 2100585261473150 is an apocalyptic number.

100585261473150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100585261473150 is an abundant number, since it is smaller than the sum of its proper divisors (148866976298418).

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

100585261473150 is a wasteful number, since it uses less digits than its factorization.

100585261473150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121837 (or 2121832 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 100585261473150 in words is "one hundred trillion, five hundred eighty-five billion, two hundred sixty-one million, four hundred seventy-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 386401 772802 1159203 1735421 1932005 2318406 3470842 3864010 5206263 5796015 8677105 9660025 10412526 11592030 17354210 19320050 26031315 28980075 43385525 52062630 57960150 86771050 130156575 260313150 670568409821 1341136819642 2011705229463 3352842049105 4023410458926 6705684098210 10058526147315 16764210245525 20117052294630 33528420491050 50292630736575 100585261473150