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103913910013 is a prime number
BaseRepresentation
bin110000011000111000…
…0000110111011111101
3100221012221100120102211
41200301300012323331
53200303430110023
6115423135420421
710336040442604
oct1406160067375
9327187316384
10103913910013
1140084769681
1218180684711
139a5064ab24
14505aba4a3b
152a82b56a0d
hex1831c06efd

103913910013 has 2 divisors, whose sum is σ = 103913910014. Its totient is φ = 103913910012.

The previous prime is 103913909993. The next prime is 103913910041. The reversal of 103913910013 is 310019319301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93855224164 + 10058685849 = 306358^2 + 100293^2 .

It is a cyclic number.

It is not a de Polignac number, because 103913910013 - 225 = 103880355581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103913910913) 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 as a sum of consecutive naturals, namely, 51956955006 + 51956955007.

It is an arithmetic number, because the mean of its divisors is an integer number (51956955007).

Almost surely, 2103913910013 is an apocalyptic number.

It is an amenable number.

103913910013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103913910013 is an equidigital number, since it uses as much as digits as its factorization.

103913910013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 31.

The spelling of 103913910013 in words is "one hundred three billion, nine hundred thirteen million, nine hundred ten thousand, thirteen".