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132123110131122 = 231119169762086819
BaseRepresentation
bin11110000010101001001111…
…000010111100010110110010
3122022210211211201021210001220
4132002221033002330112302
5114304201112143143442
61145000304024205510
736554402560103565
oct3602511702742662
9568724751253056
10132123110131122
113910a107254730
121299a416309896
135895204468096
14248ab150684dc
151041c5a5c6eec
hex782a4f0bc5b2

132123110131122 has 64 divisors (see below), whose sum is σ = 303619450636800. Its totient is φ = 37907727598080.

The previous prime is 132123110131099. The next prime is 132123110131151. The reversal of 132123110131122 is 221131011321231.

It is a junction number, because it is equal to n+sod(n) for n = 132123110131092 and 132123110131101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28915372 + ... + 33171447.

It is an arithmetic number, because the mean of its divisors is an integer number (4744053916200).

Almost surely, 2132123110131122 is an apocalyptic number.

132123110131122 is an abundant number, since it is smaller than the sum of its proper divisors (171496340505678).

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

132123110131122 is a wasteful number, since it uses less digits than its factorization.

132123110131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62088551.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132123110131122 its reverse (221131011321231), we get a palindrome (353254121452353).

The spelling of 132123110131122 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred ten million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1697 3394 5091 10182 18667 32243 37334 56001 64486 96729 112002 193458 354673 709346 1064019 2128038 62086819 124173638 186260457 372520914 682955009 1179649561 1365910018 2048865027 2359299122 3538948683 4097730054 7077897366 12976145171 25952290342 38928435513 77856871026 105361331843 210722663686 316083995529 632167991058 1158974650273 2001865305017 2317949300546 3476923950819 4003730610034 6005595915051 6953847901638 12011191830102 22020518355187 44041036710374 66061555065561 132123110131122