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103031122013 = 1229754111117
BaseRepresentation
bin101111111110100100…
…0100010100001011101
3100211221102020021221222
41133331020202201131
53142001431401023
6115155402303125
710305131041631
oct1377510424135
9324842207858
10103031122013
113a771422a16
1217b74ab7aa5
13993c79c871
144db5848dc1
152a303c9cc8
hex17fd22285d

103031122013 has 8 divisors (see below), whose sum is σ = 103137905880. Its totient is φ = 102924377920.

The previous prime is 103031121997. The next prime is 103031122021. The reversal of 103031122013 is 310221130301.

It can be written as a sum of positive squares in 4 ways, for example, as 8045731204 + 94985390809 = 89698^2 + 308197^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103031122013 - 24 = 103031121997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103031121982 and 103031122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031122043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9262331 + ... + 9273447.

It is an arithmetic number, because the mean of its divisors is an integer number (12892238235).

Almost surely, 2103031122013 is an apocalyptic number.

It is an amenable number.

103031122013 is a deficient number, since it is larger than the sum of its proper divisors (106783867).

103031122013 is a wasteful number, since it uses less digits than its factorization.

103031122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103031122013 its reverse (310221130301), we get a palindrome (413252252314).

The spelling of 103031122013 in words is "one hundred three billion, thirty-one million, one hundred twenty-two thousand, thirteen".

Divisors: 1 1229 7541 11117 9267889 13662793 83833297 103031122013