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112232230320 = 24357213769661
BaseRepresentation
bin110100010000110001…
…1111110110110110000
3101201200122202000201010
41220201203332312300
53314322422332240
6123320410110520
711052135134400
oct1504143766660
9351618660633
10112232230320
1143663193861
121990241b440
13a777b04752
145609850800
152dbd07e280
hex1a218fedb0

112232230320 has 240 divisors, whose sum is σ = 407683201248. Its totient is φ = 25465466880.

The previous prime is 112232230309. The next prime is 112232230333. The reversal of 112232230320 is 23032232211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 1576290 + ... + 1645950.

Almost surely, 2112232230320 is an apocalyptic number.

112232230320 is a gapful number since it is divisible by the number (10) 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 112232230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203841600624).

112232230320 is an abundant number, since it is smaller than the sum of its proper divisors (295450970928).

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

112232230320 is a wasteful number, since it uses less digits than its factorization.

112232230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69828 (or 69815 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 112232230320 its reverse (23032232211), we get a palindrome (135264462531).

The spelling of 112232230320 in words is "one hundred twelve billion, two hundred thirty-two million, two hundred thirty thousand, three hundred twenty".