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3123117121 is a prime number
BaseRepresentation
bin1011101000100110…
…1111110001000001
322001122200210021111
42322021233301001
522344004221441
61233523123321
7140252025505
oct27211576101
98048623244
103123117121
111362a11133
12731b13541
133aa0601c7
14218ad4305
151342b3081
hexba26fc41

3123117121 has 2 divisors, whose sum is σ = 3123117122. Its totient is φ = 3123117120.

The previous prime is 3123117089. The next prime is 3123117143. The reversal of 3123117121 is 1217113213.

3123117121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3123117143) can be obtained adding 3123117121 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2510010000 + 613107121 = 50100^2 + 24761^2 .

It is an emirp because it is prime and its reverse (1217113213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3123117121 - 25 = 3123117089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3123117092 and 3123117101.

It is not a weakly prime, because it can be changed into another prime (3123117181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561558560 + 1561558561.

It is an arithmetic number, because the mean of its divisors is an integer number (1561558561).

Almost surely, 23123117121 is an apocalyptic number.

It is an amenable number.

3123117121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123117121 is an equidigital number, since it uses as much as digits as its factorization.

3123117121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 22.

The square root of 3123117121 is about 55884.8559182181. The cubic root of 3123117121 is about 1461.7151796288.

The spelling of 3123117121 in words is "three billion, one hundred twenty-three million, one hundred seventeen thousand, one hundred twenty-one".