Search a number
-
+
2123020768177 is a prime number
BaseRepresentation
bin11110111001001101111…
…001100001001110110001
321111221212222010101101101
4132321031321201032301
5234240421304040202
64303145143004401
7306245301531541
oct36711571411661
97457788111341
102123020768177
11749405970831
122a3557439701
1312527a524c1a
1474a7d087321
153a35827a887
hex1ee4de613b1

2123020768177 has 2 divisors, whose sum is σ = 2123020768178. Its totient is φ = 2123020768176.

The previous prime is 2123020768157. The next prime is 2123020768181. The reversal of 2123020768177 is 7718670203212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1113550452001 + 1009470316176 = 1055249^2 + 1004724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123020768177 - 223 = 2123012379569 is a prime.

It is a super-2 number, since 2×21230207681772 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2123020768157) 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, 1061510384088 + 1061510384089.

It is an arithmetic number, because the mean of its divisors is an integer number (1061510384089).

Almost surely, 22123020768177 is an apocalyptic number.

It is an amenable number.

2123020768177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123020768177 is an equidigital number, since it uses as much as digits as its factorization.

2123020768177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 46.

The spelling of 2123020768177 in words is "two trillion, one hundred twenty-three billion, twenty million, seven hundred sixty-eight thousand, one hundred seventy-seven".