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2013123114 = 232111840173
BaseRepresentation
bin111011111111101…
…1101001000101010
312012022001020202100
41313333131020222
513110324414424
6531432114230
7100613156412
oct16777351052
95168036670
102013123114
119433a0212
12482235976
132610c0612
14151513642
15bbb05dc9
hex77fdd22a

2013123114 has 12 divisors (see below), whose sum is σ = 4361766786. Its totient is φ = 671041032.

The previous prime is 2013123113. The next prime is 2013123143. The reversal of 2013123114 is 4113213102.

It can be written as a sum of positive squares in only one way, i.e., 1255497489 + 757625625 = 35433^2 + 27525^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111840173 = 2013123114 / (2 + 0 + 1 + 3 + 1 + 2 + 3 + 1 + 1 + 4).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2013123113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55920069 + ... + 55920104.

Almost surely, 22013123114 is an apocalyptic number.

2013123114 is an abundant number, since it is smaller than the sum of its proper divisors (2348643672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013123114 is a wasteful number, since it uses less digits than its factorization.

2013123114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111840181 (or 111840178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2013123114 is about 44867.8405319445. The cubic root of 2013123114 is about 1262.6707258451.

Adding to 2013123114 its reverse (4113213102), we get a palindrome (6126336216).

The spelling of 2013123114 in words is "two billion, thirteen million, one hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 111840173 223680346 335520519 671041038 1006561557 2013123114