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112057047 = 33172411013
BaseRepresentation
bin1101010110111…
…01101011010111
321210212002101000
412223131223113
5212141311142
615041434343
72530316634
oct653355327
9253762330
10112057047
1158287133
123163b9b3
131a2a575b
1410c4d18b
159c8714c
hex6addad7

112057047 has 32 divisors (see below), whose sum is σ = 176679360. Its totient is φ = 69949440.

The previous prime is 112057039. The next prime is 112057069. The reversal of 112057047 is 740750211.

It is not a de Polignac number, because 112057047 - 23 = 112057039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112057047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112057747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110113 + ... + 111125.

It is an arithmetic number, because the mean of its divisors is an integer number (5521230).

Almost surely, 2112057047 is an apocalyptic number.

112057047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

112057047 is a deficient number, since it is larger than the sum of its proper divisors (64622313).

112057047 is a wasteful number, since it uses less digits than its factorization.

112057047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 112057047 is about 10585.7001185562. The cubic root of 112057047 is about 482.1102790545.

The spelling of 112057047 in words is "one hundred twelve million, fifty-seven thousand, forty-seven".

Divisors: 1 3 9 17 27 51 153 241 459 723 1013 2169 3039 4097 6507 9117 12291 17221 27351 36873 51663 110619 154989 244133 464967 732399 2197197 4150261 6591591 12450783 37352349 112057047