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114365031 = 31141181467
BaseRepresentation
bin1101101000100…
…01001001100111
321222012100022220
412310101021213
5213234140111
615203123423
72556041514
oct664211147
9258170286
10114365031
1159613160
1232373573
131a903121
141129030b
15a090e06
hex6d11267

114365031 has 32 divisors (see below), whose sum is σ = 171714816. Its totient is φ = 67104000.

The previous prime is 114365029. The next prime is 114365059. The reversal of 114365031 is 130563411.

It is not a de Polignac number, because 114365031 - 21 = 114365029 is a prime.

It is a super-2 number, since 2×1143650312 = 26158720631261922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114364992 and 114365010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114365011) 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 31 ways as a sum of consecutive naturals, for example, 244660 + ... + 245126.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2114365031 is an apocalyptic number.

114365031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114365031 is a deficient number, since it is larger than the sum of its proper divisors (57349785).

114365031 is a wasteful number, since it uses less digits than its factorization.

114365031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 114365031 is about 10694.1587326914. The cubic root of 114365031 is about 485.3977408287.

The spelling of 114365031 in words is "one hundred fourteen million, three hundred sixty-five thousand, thirty-one".

Divisors: 1 3 11 33 41 123 181 451 467 543 1353 1401 1991 5137 5973 7421 15411 19147 22263 57441 81631 84527 210617 244893 253581 631851 929797 2789391 3465607 10396821 38121677 114365031