Search a number
-
+
13997260129 is a prime number
BaseRepresentation
bin11010000100100110…
…10011110101100001
31100010111022111011211
431002103103311201
5212131244311004
610232533510121
71003602514366
oct150223236541
940114274154
1013997260129
115a330a7786
1228677a2341
131420b8ca58
1496ada246d
1556dc91504
hex3424d3d61

13997260129 has 2 divisors, whose sum is σ = 13997260130. Its totient is φ = 13997260128.

The previous prime is 13997260103. The next prime is 13997260133. The reversal of 13997260129 is 92106279931.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10150159504 + 3847100625 = 100748^2 + 62025^2 .

It is a cyclic number.

It is not a de Polignac number, because 13997260129 - 211 = 13997258081 is a prime.

It is a super-2 number, since 2×139972601292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13997260159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6998630064 + 6998630065.

It is an arithmetic number, because the mean of its divisors is an integer number (6998630065).

Almost surely, 213997260129 is an apocalyptic number.

It is an amenable number.

13997260129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13997260129 is an equidigital number, since it uses as much as digits as its factorization.

13997260129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 367416, while the sum is 49.

The spelling of 13997260129 in words is "thirteen billion, nine hundred ninety-seven million, two hundred sixty thousand, one hundred twenty-nine".