Search a number
-
+
122123137 is a prime number
BaseRepresentation
bin1110100011101…
…11001110000001
322111210111110011
413101313032001
5222230420022
620041304521
73012013063
oct721671601
9274714404
10122123137
1162a31a14
1234a95141
131c3bb416
141230d733
15aac4977
hex7477381

122123137 has 2 divisors, whose sum is σ = 122123138. Its totient is φ = 122123136.

The previous prime is 122123119. The next prime is 122123161. The reversal of 122123137 is 731321221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112444816 + 9678321 = 10604^2 + 3111^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123137 - 27 = 122123009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122123117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061568 + 61061569.

It is an arithmetic number, because the mean of its divisors is an integer number (61061569).

Almost surely, 2122123137 is an apocalyptic number.

It is an amenable number.

122123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123137 is an equidigital number, since it uses as much as digits as its factorization.

122123137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 22.

The square root of 122123137 is about 11050.9337614520. The cubic root of 122123137 is about 496.1343735501.

Adding to 122123137 its reverse (731321221), we get a palindrome (853444358).

The spelling of 122123137 in words is "one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-seven".