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132212424204 = 22337271645329
BaseRepresentation
bin111101100100001111…
…0010111111000001100
3110122021010000001002000
41323020132113320030
54131232340033304
6140423151032300
712360230030460
oct1731036277014
9418233001060
10132212424204
1151086515193
122175980b690
13c610366293
14658325c4a0
15368c1d6939
hex1ec8797e0c

132212424204 has 96 divisors (see below), whose sum is σ = 393186662400. Its totient is φ = 37635528960.

The previous prime is 132212424199. The next prime is 132212424301. The reversal of 132212424204 is 402424212231.

It is a happy number.

132212424204 is a `hidden beast` number, since 1 + 3 + 2 + 212 + 424 + 20 + 4 = 666.

It is a super-2 number, since 2×1322124242042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117789 + ... + 527540.

It is an arithmetic number, because the mean of its divisors is an integer number (4095694400).

Almost surely, 2132212424204 is an apocalyptic number.

132212424204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132212424204 is an abundant number, since it is smaller than the sum of its proper divisors (260974238196).

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

132212424204 is a wasteful number, since it uses less digits than its factorization.

132212424204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645620 (or 645612 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 132212424204 its reverse (402424212231), we get a palindrome (534636636435).

The spelling of 132212424204 in words is "one hundred thirty-two billion, two hundred twelve million, four hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 271 378 542 756 813 1084 1626 1897 2439 3252 3794 4878 5691 7317 7588 9756 11382 14634 17073 22764 29268 34146 51219 68292 102438 204876 645329 1290658 1935987 2581316 3871974 4517303 5807961 7743948 9034606 11615922 13551909 17423883 18069212 23231844 27103818 34847766 40655727 54207636 69695532 81311454 121967181 162622908 174884159 243934362 349768318 487868724 524652477 699536636 1049304954 1224189113 1573957431 2098609908 2448378226 3147914862 3672567339 4721872293 4896756452 6295829724 7345134678 9443744586 11017702017 14690269356 18887489172 22035404034 33053106051 44070808068 66106212102 132212424204