Search a number
-
+
132323120123112 = 233767385329297
BaseRepresentation
bin11110000101100011100000…
…100100100000110011101000
3122100111222002202101010000000
4132011203200210200303220
5114320440222222414422
61145232222512343000
736605013162015012
oct3605434044406350
9570458082333000
10132323120123112
1139186a1371aa76
1212a11135244a60
1358ab02a875279
14249668a5cb1b2
151047064871cac
hex7858e0920ce8

132323120123112 has 256 divisors, whose sum is σ = 377766724435200. Its totient is φ = 43436623279104.

The previous prime is 132323120123087. The next prime is 132323120123167. The reversal of 132323120123112 is 211321021323231.

132323120123112 is a `hidden beast` number, since 1 + 3 + 2 + 32 + 312 + 0 + 1 + 2 + 311 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4516595248 + ... + 4516624544.

It is an arithmetic number, because the mean of its divisors is an integer number (1475651267325).

Almost surely, 2132323120123112 is an apocalyptic number.

132323120123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323120123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188883362217600).

132323120123112 is an abundant number, since it is smaller than the sum of its proper divisors (245443604312088).

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

132323120123112 is an equidigital number, since it uses as much as digits as its factorization.

132323120123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33244 (or 33222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132323120123112 its reverse (211321021323231), we get a palindrome (343644141446343).

The spelling of 132323120123112 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred twenty million, one hundred twenty-three thousand, one hundred twelve".