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15100253135137 is a prime number
BaseRepresentation
bin1101101110111100110100…
…1110010110000100100001
31222110120101121022022121201
43123233031032112010201
53434400304300311022
652040543250121201
73115646230605322
oct333571516260441
958416347268551
1015100253135137
1148a1a88260875
12183a644280201
13856c422cb911
143a2bdb3ca449
151b2bd3c02127
hexdbbcd396121

15100253135137 has 2 divisors, whose sum is σ = 15100253135138. Its totient is φ = 15100253135136.

The previous prime is 15100253135131. The next prime is 15100253135183. The reversal of 15100253135137 is 73153135200151.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14881417230736 + 218835904401 = 3857644^2 + 467799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15100253135137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15100253135096 and 15100253135105.

It is not a weakly prime, because it can be changed into another prime (15100253135131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7550126567568 + 7550126567569.

It is an arithmetic number, because the mean of its divisors is an integer number (7550126567569).

Almost surely, 215100253135137 is an apocalyptic number.

It is an amenable number.

15100253135137 is a deficient number, since it is larger than the sum of its proper divisors (1).

15100253135137 is an equidigital number, since it uses as much as digits as its factorization.

15100253135137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47250, while the sum is 37.

Adding to 15100253135137 its reverse (73153135200151), we get a palindrome (88253388335288).

The spelling of 15100253135137 in words is "fifteen trillion, one hundred billion, two hundred fifty-three million, one hundred thirty-five thousand, one hundred thirty-seven".