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112275900 = 2232521121031
BaseRepresentation
bin1101011000100…
…11000110111100
321211021012120200
412230103012330
5212220312100
615050243500
72532220662
oct654230674
9254235520
10112275900
1158416600
1231726590
131a351259
1410ca8c32
159ccbe00
hex6b131bc

112275900 has 162 divisors, whose sum is σ = 387199176. Its totient is φ = 27192000.

The previous prime is 112275869. The next prime is 112275913. The reversal of 112275900 is 9572211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 108385 + ... + 109415.

Almost surely, 2112275900 is an apocalyptic number.

112275900 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 112275900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193599588).

112275900 is an abundant number, since it is smaller than the sum of its proper divisors (274923276).

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

112275900 is a wasteful number, since it uses less digits than its factorization.

112275900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 112275900 is about 10596.0322762815. The cubic root of 112275900 is about 482.4239367511.

It can be divided in two parts, 11 and 2275900, that added together give a triangular number (2275911 = T2133).

The spelling of 112275900 in words is "one hundred twelve million, two hundred seventy-five thousand, nine hundred".