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107755353225 = 325213137443607
BaseRepresentation
bin110010001011010111…
…0000011010010001001
3101022010122201002212100
41210112232003102021
53231140332300400
6121300243104013
710533164250522
oct1442656032211
9338118632770
10107755353225
11417760a6833
1218a73072009
13a213465950
145303043849
152c0a00c100
hex1916b83489

107755353225 has 144 divisors (see below), whose sum is σ = 210183547392. Its totient is φ = 52456135680.

The previous prime is 107755353197. The next prime is 107755353241. The reversal of 107755353225 is 522353557701.

107755353225 is a `hidden beast` number, since 1 + 0 + 7 + 75 + 5 + 353 + 225 = 666.

It is not a de Polignac number, because 107755353225 - 25 = 107755353193 is a prime.

It is a super-2 number, since 2×1077553532252 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177520872 + ... + 177521478.

It is an arithmetic number, because the mean of its divisors is an integer number (1459607968).

Almost surely, 2107755353225 is an apocalyptic number.

107755353225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107755353225 is a deficient number, since it is larger than the sum of its proper divisors (102428194167).

107755353225 is a wasteful number, since it uses less digits than its factorization.

107755353225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 107755353225 in words is "one hundred seven billion, seven hundred fifty-five million, three hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 137 195 225 325 411 443 585 607 685 975 1233 1329 1781 1821 2055 2215 2925 3035 3425 3987 5343 5463 5759 6165 6645 7891 8905 9105 10275 11075 15175 16029 17277 19935 23673 26715 27315 28795 30825 33225 39455 44525 45525 51831 60691 71019 80145 83159 86385 99675 118365 133575 136575 143975 182073 197275 249477 259155 268901 303455 355095 400725 415795 431925 546219 591825 748431 788983 806703 910365 1081067 1247385 1295775 1344505 1517275 1775475 2078975 2366949 2420109 2731095 3243201 3495713 3742155 3944915 4033515 4551825 5405335 6236925 6722525 7100847 9729603 10487139 11834745 12100545 13655475 16216005 17478565 18710775 19724575 20167575 27026675 31461417 35504235 36839437 48648015 52435695 59173725 60502725 81080025 87392825 110518311 157307085 177521175 184197185 243240075 262178475 331554933 478912681 552591555 786535425 920985925 1436738043 1657774665 2394563405 2762957775 4310214129 7183690215 8288873325 11972817025 21551070645 35918451075 107755353225