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113132022432 = 253112132332573
BaseRepresentation
bin110100101011100110…
…0011010101010100000
3101211000100212012102220
41221113030122222200
53323143244204212
6123545551511040
711113342216122
oct1512714325240
9354010765386
10113132022432
1143a85093a00
1219b13828480
13a88c357610
145693155212
152e2206938c
hex1a5731aaa0

113132022432 has 288 divisors, whose sum is σ = 366828061824. Its totient is φ = 30268508160.

The previous prime is 113132022427. The next prime is 113132022469. The reversal of 113132022432 is 234220231311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3456898 + ... + 3489470.

It is an arithmetic number, because the mean of its divisors is an integer number (1273708548).

Almost surely, 2113132022432 is an apocalyptic number.

113132022432 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 113132022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183414030912).

113132022432 is an abundant number, since it is smaller than the sum of its proper divisors (253696039392).

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

113132022432 is a wasteful number, since it uses less digits than its factorization.

113132022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32644 (or 32625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113132022432 its reverse (234220231311), we get a palindrome (347352253743).

The spelling of 113132022432 in words is "one hundred thirteen billion, one hundred thirty-two million, twenty-two thousand, four hundred thirty-two".