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32013122112 = 26321094431151
BaseRepresentation
bin11101110100001000…
…010111101001000000
310001122001100002202100
4131310020113221000
51011030324401422
622412344150400
72212213022346
oct356410275100
9101561302670
1032013122112
1112638633514
126255168400
13303248510a
14179995b996
15c7572e7ac
hex774217a40

32013122112 has 168 divisors, whose sum is σ = 92891335680. Its totient is φ = 10540108800.

The previous prime is 32013122101. The next prime is 32013122117. The reversal of 32013122112 is 21122131023.

32013122112 is a `hidden beast` number, since 320 + 1 + 312 + 21 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32013122117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27812737 + ... + 27813887.

Almost surely, 232013122112 is an apocalyptic number.

32013122112 is a gapful number since it is divisible by the number (32) 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 32013122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46445667840).

32013122112 is an abundant number, since it is smaller than the sum of its proper divisors (60878213568).

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

32013122112 is a wasteful number, since it uses less digits than its factorization.

32013122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32013122112 its reverse (21122131023), we get a palindrome (53135253135).

It can be divided in two parts, 320131 and 22112, that added together give a palindrome (342243).

The spelling of 32013122112 in words is "thirty-two billion, thirteen million, one hundred twenty-two thousand, one hundred twelve".