Search a number
-
+
122020310122031 is a prime number
BaseRepresentation
bin11011101111101000010001…
…001111010111111000101111
3121000001000202012200222121102
4123233220101033113320233
5111443140043342401111
61111303205010153315
734462451014654046
oct3357502117277057
9530030665628542
10122020310122031
1135974583001312
121182842ab8283b
13531160969ba19
14221bb5909155d
15e1906570c13b
hex6efa113d7e2f

122020310122031 has 2 divisors, whose sum is σ = 122020310122032. Its totient is φ = 122020310122030.

The previous prime is 122020310121989. The next prime is 122020310122057. The reversal of 122020310122031 is 130221013020221.

It is a strong prime.

It is an emirp because it is prime and its reverse (130221013020221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122020310122031 - 238 = 121745432215087 is a prime.

It is a super-2 number, since 2×1220203101220312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122020310121994 and 122020310122012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122020310122331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010155061015 + 61010155061016.

It is an arithmetic number, because the mean of its divisors is an integer number (61010155061016).

Almost surely, 2122020310122031 is an apocalyptic number.

122020310122031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020310122031 is an equidigital number, since it uses as much as digits as its factorization.

122020310122031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122020310122031 its reverse (130221013020221), we get a palindrome (252241323142252).

The spelling of 122020310122031 in words is "one hundred twenty-two trillion, twenty billion, three hundred ten million, one hundred twenty-two thousand, thirty-one".