Search a number
-
+
12021001313137 is a prime number
BaseRepresentation
bin1010111011101101101110…
…0000110101101101110001
31120120012022020202100102221
42232323123200311231301
53033423002314010022
641322212145041041
72350326422146465
oct256733340655561
946505266670387
1012021001313137
113915094944243
121421901026181
136927636742ab
142d7b68c744a5
1515ca61a2bcc7
hexaeedb835b71

12021001313137 has 2 divisors, whose sum is σ = 12021001313138. Its totient is φ = 12021001313136.

The previous prime is 12021001313071. The next prime is 12021001313159. The reversal of 12021001313137 is 73131310012021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11909407902001 + 111593411136 = 3451001^2 + 334056^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021001313137 - 215 = 12021001280369 is a prime.

It is not a weakly prime, because it can be changed into another prime (12021001373137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6010500656568 + 6010500656569.

It is an arithmetic number, because the mean of its divisors is an integer number (6010500656569).

Almost surely, 212021001313137 is an apocalyptic number.

It is an amenable number.

12021001313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021001313137 is an equidigital number, since it uses as much as digits as its factorization.

12021001313137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 12021001313137 its reverse (73131310012021), we get a palindrome (85152311325158).

The spelling of 12021001313137 in words is "twelve trillion, twenty-one billion, one million, three hundred thirteen thousand, one hundred thirty-seven".