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114140013 = 31314512017
BaseRepresentation
bin1101100110110…
…10001101101101
321221202220122220
412303122031231
5213204440023
615154225553
72554113501
oct663321555
9257686586
10114140013
115947a099
12322852b9
131a854890
1411232301
15a0493e3
hex6cda36d

114140013 has 16 divisors (see below), whose sum is σ = 164087616. Its totient is φ = 70156800.

The previous prime is 114140009. The next prime is 114140021. The reversal of 114140013 is 310041411.

It is not a de Polignac number, because 114140013 - 22 = 114140009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114139974 and 114140001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114145013) 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, 55581 + ... + 57597.

It is an arithmetic number, because the mean of its divisors is an integer number (10255476).

Almost surely, 2114140013 is an apocalyptic number.

114140013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114140013 is a deficient number, since it is larger than the sum of its proper divisors (49947603).

114140013 is a wasteful number, since it uses less digits than its factorization.

114140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114140013 is about 10683.6329495168. The cubic root of 114140013 is about 485.0791850020.

Adding to 114140013 its reverse (310041411), we get a palindrome (424181424).

The spelling of 114140013 in words is "one hundred fourteen million, one hundred forty thousand, thirteen".

Divisors: 1 3 13 39 1451 2017 4353 6051 18863 26221 56589 78663 2926667 8780001 38046671 114140013