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132881042112 = 26371367113513
BaseRepresentation
bin111101111000001010…
…0111100101011000000
3110200222201010100102020
41323300110330223000
54134120021321422
6141013353521440
712412626136020
oct1736024745300
9420881110366
10132881042112
115139997a775
1221905713280
13c6b8a38590
146607d87a80
1536cac5a95c
hex1ef053cac0

132881042112 has 224 divisors, whose sum is σ = 439177492992. Its totient is φ = 34522177536.

The previous prime is 132881042111. The next prime is 132881042141. The reversal of 132881042112 is 211240188231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1328810421122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132881042111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113868 + ... + 1227380.

It is an arithmetic number, because the mean of its divisors is an integer number (1960613808).

Almost surely, 2132881042112 is an apocalyptic number.

132881042112 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 132881042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219588746496).

132881042112 is an abundant number, since it is smaller than the sum of its proper divisors (306296450880).

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

132881042112 is a wasteful number, since it uses less digits than its factorization.

132881042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113615 (or 113605 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 132881042112 in words is "one hundred thirty-two billion, eight hundred eighty-one million, forty-two thousand, one hundred twelve".