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114536123 = 13171927277
BaseRepresentation
bin1101101001110…
…10111010111011
321222112001000122
412310322322323
5213310123443
615210523455
72560353362
oct664727273
9258461018
10114536123
115971a759
123243658b
131a962c70
14112d67d9
15a0c6968
hex6d3aebb

114536123 has 16 divisors (see below), whose sum is σ = 137481120. Its totient is φ = 94265856.

The previous prime is 114536111. The next prime is 114536129. The reversal of 114536123 is 321635411.

It is a cyclic number.

It is not a de Polignac number, because 114536123 - 218 = 114273979 is a prime.

It is a super-2 number, since 2×1145361232 = 26237046943742258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114536092 and 114536101.

It is not an unprimeable number, because it can be changed into a prime (114536129) 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, 9440 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (8592570).

Almost surely, 2114536123 is an apocalyptic number.

114536123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114536123 is a deficient number, since it is larger than the sum of its proper divisors (22944997).

114536123 is a wasteful number, since it uses less digits than its factorization.

114536123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27326.

The product of its digits is 2160, while the sum is 26.

The square root of 114536123 is about 10702.1550633506. The cubic root of 114536123 is about 485.6396746039.

It can be divided in two parts, 11453 and 6123, that added together give a cube (17576 = 263).

The spelling of 114536123 in words is "one hundred fourteen million, five hundred thirty-six thousand, one hundred twenty-three".

Divisors: 1 13 17 19 221 247 323 4199 27277 354601 463709 518263 6028217 6737419 8810471 114536123