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132214663660230 = 232531229206937853
BaseRepresentation
bin11110000011111110100000…
…000011111100001011000110
3122100010121011020101221111100
4132003332200003330023012
5114312201112344111410
61145110324502120530
736564123422211534
oct3603764003741306
9570117136357440
10132214663660230
1139144a18897178
12129b4107420146
1358a0a350a2148
14249131c401154
1510443180238c0
hex783fa00fc2c6

132214663660230 has 96 divisors (see below), whose sum is σ = 356396649672960. Its totient is φ = 33970917784320.

The previous prime is 132214663660213. The next prime is 132214663660231. The reversal of 132214663660230 is 32066366412231.

132214663660230 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 6 + 6 + 3 + 6 + 602 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214663660231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 102830017 + ... + 104107836.

It is an arithmetic number, because the mean of its divisors is an integer number (3712465100760).

Almost surely, 2132214663660230 is an apocalyptic number.

132214663660230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132214663660230 is an abundant number, since it is smaller than the sum of its proper divisors (224181986012730).

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

132214663660230 is a wasteful number, since it uses less digits than its factorization.

132214663660230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206938126 (or 206938123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 132214663660230 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred sixty-three million, six hundred sixty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 229 279 310 458 465 558 687 930 1145 1374 1395 2061 2290 2790 3435 4122 6870 7099 10305 14198 20610 21297 35495 42594 63891 70990 106485 127782 212970 319455 638910 206937853 413875706 620813559 1034689265 1241627118 1862440677 2069378530 3104067795 3724881354 6208135590 6415073443 9312203385 12830146886 18624406770 19245220329 32075367215 38490440658 47388768337 57735660987 64150734430 94777536674 96226101645 115471321974 142166305011 192452203290 236943841685 284332610022 288678304935 426498915033 473887683370 577356609870 710831525055 852997830066 1421663050110 1469051818447 2132494575165 2938103636894 4264989150330 4407155455341 7345259092235 8814310910682 13221466366023 14690518184470 22035777276705 26442932732046 44071554553410 66107331830115 132214663660230