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102503723013 = 3211389302557
BaseRepresentation
bin101111101110110110…
…0101011000000000101
3100210120122211122112200
41133131230223000011
53134411423114023
6115031202305113
710256065161336
oct1373554530005
9323518748480
10102503723013
113a52075227a
1217a48358199
139887443653
144d657a028d
1529ede4d743
hex17ddb2b005

102503723013 has 6 divisors (see below), whose sum is σ = 148060933254. Its totient is φ = 68335815336.

The previous prime is 102503722987. The next prime is 102503723027. The reversal of 102503723013 is 310327305201.

102503723013 is a `hidden beast` number, since 1 + 0 + 250 + 372 + 30 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86737907169 + 15765815844 = 294513^2 + 125562^2 .

It is not a de Polignac number, because 102503723013 - 28 = 102503722757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102503723033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5694651270 + ... + 5694651287.

It is an arithmetic number, because the mean of its divisors is an integer number (24676822209).

Almost surely, 2102503723013 is an apocalyptic number.

It is an amenable number.

102503723013 is a deficient number, since it is larger than the sum of its proper divisors (45557210241).

102503723013 is a wasteful number, since it uses less digits than its factorization.

102503723013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11389302563 (or 11389302560 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 102503723013 in words is "one hundred two billion, five hundred three million, seven hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 11389302557 34167907671 102503723013