Search a number
-
+
122233130131199 is a prime number
BaseRepresentation
bin11011110010101110011110…
…010011010001111011111111
3121000210101002000002121120012
4123302232132103101323333
5112010131422303144244
61111545042541413435
734514023625126063
oct3362563623217377
9530711060077505
10122233130131199
1135a4686339110a
1211861723b6a27b
1353286c49bcc29
142228187a47aa3
15e1e86e3cc89e
hex6f2b9e4d1eff

122233130131199 has 2 divisors, whose sum is σ = 122233130131200. Its totient is φ = 122233130131198.

The previous prime is 122233130131187. The next prime is 122233130131249. The reversal of 122233130131199 is 991131031332221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122233130131199 - 212 = 122233130127103 is a prime.

It is a super-3 number, since 3×1222331301311993 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122233130131499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116565065599 + 61116565065600.

It is an arithmetic number, because the mean of its divisors is an integer number (61116565065600).

Almost surely, 2122233130131199 is an apocalyptic number.

122233130131199 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233130131199 is an equidigital number, since it uses as much as digits as its factorization.

122233130131199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 122233130131199 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, one hundred thirty million, one hundred thirty-one thousand, one hundred ninety-nine".