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103112993617 is a prime number
BaseRepresentation
bin110000000001000000…
…0110110101101010001
3100212011010021210200121
41200002000312231101
53142133411243432
6115211445150241
710310143661434
oct1400200665521
9325133253617
10103112993617
113a8036622a7
1217b983bb381
139953736aba
144dc267b81b
152a3769d197
hex1802036b51

103112993617 has 2 divisors, whose sum is σ = 103112993618. Its totient is φ = 103112993616.

The previous prime is 103112993611. The next prime is 103112993623. The reversal of 103112993617 is 716399211301.

It is a balanced prime because it is at equal distance from previous prime (103112993611) and next prime (103112993623).

It can be written as a sum of positive squares in only one way, i.e., 98018460241 + 5094533376 = 313079^2 + 71376^2 .

It is a cyclic number.

It is not a de Polignac number, because 103112993617 - 23 = 103112993609 is a prime.

It is not a weakly prime, because it can be changed into another prime (103112993611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556496808 + 51556496809.

It is an arithmetic number, because the mean of its divisors is an integer number (51556496809).

Almost surely, 2103112993617 is an apocalyptic number.

It is an amenable number.

103112993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

103112993617 is an equidigital number, since it uses as much as digits as its factorization.

103112993617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 103112993617 in words is "one hundred three billion, one hundred twelve million, nine hundred ninety-three thousand, six hundred seventeen".