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113115761 = 112411512
BaseRepresentation
bin1101011111000…
…00001001110001
321212211212122122
412233200021301
5212424201021
615120244025
72542316363
oct657401161
9255755578
10113115761
115893a600
1231a70615
131a586605
1411046d33
159de5bab
hex6be0271

113115761 has 18 divisors (see below), whose sum is σ = 128215458. Its totient is φ = 99660000.

The previous prime is 113115703. The next prime is 113115767. The reversal of 113115761 is 167511311.

It can be written as a sum of positive squares in only one way, i.e., 68973025 + 44142736 = 8305^2 + 6644^2 .

It is not a de Polignac number, because 113115761 - 210 = 113114737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113115761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113115767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 749036 + ... + 749186.

It is an arithmetic number, because the mean of its divisors is an integer number (7123081).

Almost surely, 2113115761 is an apocalyptic number.

113115761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113115761 is a deficient number, since it is larger than the sum of its proper divisors (15099697).

113115761 is an equidigital number, since it uses as much as digits as its factorization.

113115761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 203 counting only the distinct ones).

The product of its digits is 630, while the sum is 26.

The square root of 113115761 is about 10635.5893583760. The cubic root of 113115761 is about 483.6238468570.

The spelling of 113115761 in words is "one hundred thirteen million, one hundred fifteen thousand, seven hundred sixty-one".

Divisors: 1 11 41 121 151 451 1661 4961 6191 18271 22801 68101 250811 749111 934841 2758921 10283251 113115761