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132115012461234 = 232111952336710929
BaseRepresentation
bin11110000010100001101100…
…011000110010001010110010
3122022210001221101002112021100
4132002201230120302022302
5114304033021142224414
61144552444315105230
736553665112044555
oct3602415430621262
9568701841075240
10132115012461234
1139106731337470
1212998936442216
135894513918c3a
14248a58781869c
151041934737609
hex78286c6322b2

132115012461234 has 96 divisors (see below), whose sum is σ = 328770071323200. Its totient is φ = 37920501319680.

The previous prime is 132115012461197. The next prime is 132115012461241. The reversal of 132115012461234 is 432164210511231.

132115012461234 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 5 + 0 + 1 + 2 + 4 + 612 + 34 = 666.

132115012461234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16331082 + ... + 23042010.

It is an arithmetic number, because the mean of its divisors is an integer number (3424688242950).

Almost surely, 2132115012461234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115012461234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164385035661600).

132115012461234 is an abundant number, since it is smaller than the sum of its proper divisors (196655058861966).

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

132115012461234 is a wasteful number, since it uses less digits than its factorization.

132115012461234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716200 (or 6716197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 132115012461234 its reverse (432164210511231), we get a palindrome (564279222972465).

The spelling of 132115012461234 in words is "one hundred thirty-two trillion, one hundred fifteen billion, twelve million, four hundred sixty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 5233 10466 15699 31398 47097 57563 94194 99427 115126 172689 198854 298281 345378 518067 596562 894843 1036134 1093697 1789686 2187394 3281091 6562182 6710929 9843273 13421858 19686546 20132787 40265574 60398361 73820219 120796722 127507651 147640438 221460657 255015302 382522953 442921314 664381971 765045906 1147568859 1328763942 1402584161 2295137718 2805168322 4207752483 8415504966 12623257449 25246514898 35118291457 70236582914 105354874371 210709748742 316064623113 386301206027 632129246226 667247537683 772602412054 1158903618081 1334495075366 2001742613049 2317807236162 3476710854243 4003485226098 6005227839147 6953421708486 7339722914513 12010455678294 14679445829026 22019168743539 44038337487078 66057506230617 132115012461234