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112264031 = 11371132441
BaseRepresentation
bin1101011000100…
…00001101011111
321211020121022002
412230100031133
5212214422111
615050112515
72532141245
oct654201537
9254217262
10112264031
11584086a0
123171b73b
131a348a29
1410ca4795
159cc863b
hex6b1035f

112264031 has 16 divisors (see below), whose sum is σ = 126944928. Its totient is φ = 98380800.

The previous prime is 112264007. The next prime is 112264049. The reversal of 112264031 is 130462211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112264031 is a prime.

It is a super-2 number, since 2×1122640312 = 25206425312737922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112263994 and 112264012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112264231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44771 + ... + 47211.

It is an arithmetic number, because the mean of its divisors is an integer number (7934058).

Almost surely, 2112264031 is an apocalyptic number.

112264031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112264031 is a deficient number, since it is larger than the sum of its proper divisors (14680897).

112264031 is a wasteful number, since it uses less digits than its factorization.

112264031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 112264031 is about 10595.4721933475. The cubic root of 112264031 is about 482.4069366900.

The spelling of 112264031 in words is "one hundred twelve million, two hundred sixty-four thousand, thirty-one".

Divisors: 1 11 37 113 407 1243 2441 4181 26851 45991 90317 275833 993487 3034163 10205821 112264031