Search a number
-
+
122313131 is a prime number
BaseRepresentation
bin1110100101001…
…01100110101011
322112011011001222
413102211212223
5222303010011
620045332255
73013434023
oct722454653
9275134058
10122313131
1163051736
1234b6708b
131c456a45
141235ca83
15ab10ddb
hex74a59ab

122313131 has 2 divisors, whose sum is σ = 122313132. Its totient is φ = 122313130.

The previous prime is 122313071. The next prime is 122313133. The reversal of 122313131 is 131313221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122313131 - 214 = 122296747 is a prime.

It is a super-2 number, since 2×1223131312 = 29921004030046322, which contains 22 as substring.

Together with 122313133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122313133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156565 + 61156566.

It is an arithmetic number, because the mean of its divisors is an integer number (61156566).

Almost surely, 2122313131 is an apocalyptic number.

122313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313131 is an equidigital number, since it uses as much as digits as its factorization.

122313131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 122313131 is about 11059.5267077755. The cubic root of 122313131 is about 496.3915285153.

Adding to 122313131 its reverse (131313221), we get a palindrome (253626352).

The spelling of 122313131 in words is "one hundred twenty-two million, three hundred thirteen thousand, one hundred thirty-one".