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132211261242063 = 321729414397165287
BaseRepresentation
bin11110000011111011010101…
…010000101111101011001111
3122100010021101010011012012200
4132003323111100233223033
5114312122130334221223
61145105003120332543
736563643206143203
oct3603732520575317
9570107333135180
10132211261242063
113914353225a033
12129b3517a74153
1358a0612210763
1424910b85a4b03
1510441b948ea43
hex783ed542facf

132211261242063 has 96 divisors (see below), whose sum is σ = 214329994220160. Its totient is φ = 78123736965120.

The previous prime is 132211261242037. The next prime is 132211261242083. The reversal of 132211261242063 is 360242162112231.

It is a happy number.

132211261242063 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 12 + 612 + 4 + 20 + 6 + 3 = 666.

It is not a de Polignac number, because 132211261242063 - 214 = 132211261225679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211261242023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799806406 + ... + 799971692.

It is an arithmetic number, because the mean of its divisors is an integer number (2232604106460).

Almost surely, 2132211261242063 is an apocalyptic number.

132211261242063 is a deficient number, since it is larger than the sum of its proper divisors (82118732978097).

132211261242063 is a wasteful number, since it uses less digits than its factorization.

132211261242063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169777 (or 169774 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 132211261242063 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred sixty-one million, two hundred forty-two thousand, sixty-three".

Divisors: 1 3 9 17 29 41 51 87 123 153 261 369 493 697 1189 1479 2091 3567 4397 4437 6273 10701 13191 20213 39573 60639 74749 127513 165287 180277 181917 224247 382539 495861 540831 672741 1147617 1487583 1622493 2167721 2809879 3064709 4793323 5228033 6503163 6776767 8429637 9194127 14379969 15684099 19509489 20330301 25288911 27582381 43139907 47052297 60990903 81486491 88876561 115205039 196526243 244459473 266629683 345615117 589578729 726766939 733378419 799889049 1036845351 1768736187 2180300817 3340946131 6540902451 10022838393 12355037963 21076241231 29797444499 30068515179 37065113889 63228723693 89392333497 111195341667 189686171079 268177000491 358296100927 506556556483 864125890471 1074888302781 1519669669449 2592377671413 3224664908343 4559009008347 7777133014239 14690140138007 44070420414021 132211261242063