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103312013137 is a prime number
BaseRepresentation
bin110000000110111100…
…0000011011101010001
3100212122222210001010221
41200031320003131101
53143040333410022
6115243314553041
710315111423324
oct1401570033521
9325588701127
10103312013137
113a8a5a35643
1218032b98781
139985a39a28
145000c867bb
152a49db1cc7
hex180de03751

103312013137 has 2 divisors, whose sum is σ = 103312013138. Its totient is φ = 103312013136.

The previous prime is 103312013117. The next prime is 103312013149. The reversal of 103312013137 is 731310213301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77418054081 + 25893959056 = 278241^2 + 160916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103312013137 is a prime.

It is not a weakly prime, because it can be changed into another prime (103312013107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656006568 + 51656006569.

It is an arithmetic number, because the mean of its divisors is an integer number (51656006569).

Almost surely, 2103312013137 is an apocalyptic number.

It is an amenable number.

103312013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312013137 is an equidigital number, since it uses as much as digits as its factorization.

103312013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 103312013137 its reverse (731310213301), we get a palindrome (834622226438).

The spelling of 103312013137 in words is "one hundred three billion, three hundred twelve million, thirteen thousand, one hundred thirty-seven".