Search a number
-
+
13022021202137 is a prime number
BaseRepresentation
bin1011110101111110110011…
…1100101011000011011001
31201002220010001021111121122
42331133230330223003121
53201323044411432022
643410122311215025
72512544552624033
oct275375474530331
951086101244548
1013022021202137
114170676537902
121563908677475
13735c82021a3c
143303aa924c53
15178aecaa2742
hexbd7ecf2b0d9

13022021202137 has 2 divisors, whose sum is σ = 13022021202138. Its totient is φ = 13022021202136.

The previous prime is 13022021202097. The next prime is 13022021202161. The reversal of 13022021202137 is 73120212022031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13013940810256 + 8080391881 = 3607484^2 + 89891^2 .

It is an emirp because it is prime and its reverse (73120212022031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022021202137 - 28 = 13022021201881 is a prime.

It is a super-2 number, since 2×130220212021372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13022021202037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511010601068 + 6511010601069.

It is an arithmetic number, because the mean of its divisors is an integer number (6511010601069).

Almost surely, 213022021202137 is an apocalyptic number.

It is an amenable number.

13022021202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022021202137 is an equidigital number, since it uses as much as digits as its factorization.

13022021202137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 13022021202137 its reverse (73120212022031), we get a palindrome (86142233224168).

The spelling of 13022021202137 in words is "thirteen trillion, twenty-two billion, twenty-one million, two hundred two thousand, one hundred thirty-seven".