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112312738608 = 243731411811453
BaseRepresentation
bin110100010011001011…
…1000110001100110000
3101201220021020021022120
41220212113012030300
53320004030113413
6123332403434240
711054133345420
oct1504627061460
9351807207276
10112312738608
11436a4681934
1219925385980
13a78b6b22a5
14561640a480
152dc5183723
hex1a265c6330

112312738608 has 320 divisors, whose sum is σ = 352814751744. Its totient is φ = 30108672000.

The previous prime is 112312738607. The next prime is 112312738663. The reversal of 112312738608 is 806837213211.

It is a super-2 number, since 2×1123127386082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 112312738608.

It is not an unprimeable number, because it can be changed into a prime (112312738607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77296410 + ... + 77297862.

Almost surely, 2112312738608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312738608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176407375872).

112312738608 is an abundant number, since it is smaller than the sum of its proper divisors (240502013136).

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

112312738608 is a wasteful number, since it uses less digits than its factorization.

112312738608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 112312738608 in words is "one hundred twelve billion, three hundred twelve million, seven hundred thirty-eight thousand, six hundred eight".