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112442436100 = 22521124424361
BaseRepresentation
bin110100010111000010…
…1110110101000000100
3101202020022021120211101
41220232011312220010
53320240230423400
6123353315345444
711060266636261
oct1505605665004
9352208246741
10112442436100
1143760907545
12199608b2284
13a7ac523177
14562972c268
152dd175256a
hex1a2e176a04

112442436100 has 18 divisors (see below), whose sum is σ = 244000086554. Its totient is φ = 44976974400.

The previous prime is 112442436077. The next prime is 112442436103. The reversal of 112442436100 is 1634244211.

112442436100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 780867136 + 111661568964 = 27944^2 + 334158^2 .

It is a super-2 number, since 2×1124424361002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112442436103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562212081 + ... + 562212280.

Almost surely, 2112442436100 is an apocalyptic number.

112442436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112442436100 is an abundant number, since it is smaller than the sum of its proper divisors (131557650454).

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

112442436100 is a wasteful number, since it uses less digits than its factorization.

112442436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124424375 (or 1124424368 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 112442436100 in words is "one hundred twelve billion, four hundred forty-two million, four hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1124424361 2248848722 4497697444 5622121805 11244243610 22488487220 28110609025 56221218050 112442436100