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132222444222231 = 32112314327905167
BaseRepresentation
bin11110000100000101101111…
…110100011011011100010111
3122100011100020110220110001100
4132010011233310123130113
5114312313031210102411
61145114052522401143
736564520266666006
oct3604055764333427
9570140213813040
10132222444222231
1139148250805600
12129b57190601b3
1358a16a501359c
1424918598a6c3d
151044621125456
hex78416fd1b717

132222444222231 has 72 divisors (see below), whose sum is σ = 216751152730112. Its totient is φ = 77531812696800.

The previous prime is 132222444222229. The next prime is 132222444222259.

It is a happy number.

132222444222231 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 2 + 4 + 4 + 422 + 223 + 1 = 666.

132222444222231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132222444222231 - 21 = 132222444222229 is a prime.

It is a super-2 number, since 2×1322224442222312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132222444222131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145622610 + ... + 146527776.

Almost surely, 2132222444222231 is an apocalyptic number.

132222444222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132222444222231 is a deficient number, since it is larger than the sum of its proper divisors (84528708507881).

132222444222231 is a wasteful number, since it uses less digits than its factorization.

132222444222231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909553 (or 909539 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 132222444222231 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, four hundred forty-four million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 11 31 33 93 99 121 279 341 363 1023 1089 3069 3751 4327 11253 12981 33759 38943 47597 134137 142791 402411 428373 523567 905167 1207233 1475507 1570701 2715501 4426521 4712103 8146503 9956837 13279563 16230577 28060177 29870511 48691731 84180531 89611533 109525207 146075193 252541593 308661947 328575621 925985841 985726863 2777957523 3395281417 3916657609 10185844251 11749972827 30557532753 35249918481 43083233699 121416385879 129249701097 364249157637 387749103291 473915570689 1092747472911 1335580244669 1421746712067 4006740734007 4265240136201 12020222202021 14691382691359 44074148074077 132222444222231