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122564113151 is a prime number
BaseRepresentation
bin111001000100101100…
…0111111001011111111
3102201100201000001111012
41302021120333023333
54002002403110101
6132145530145435
711566152525644
oct1621130771377
9381321001435
10122564113151
1147a852792a7
121b90658227b
13b7334a399c
145d09ac5dcb
1532c5147bbb
hex1c8963f2ff

122564113151 has 2 divisors, whose sum is σ = 122564113152. Its totient is φ = 122564113150.

The previous prime is 122564113117. The next prime is 122564113213. The reversal of 122564113151 is 151311465221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122564113151 - 234 = 105384243967 is a prime.

It is a super-2 number, since 2×1225641131512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122564113951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61282056575 + 61282056576.

It is an arithmetic number, because the mean of its divisors is an integer number (61282056576).

Almost surely, 2122564113151 is an apocalyptic number.

122564113151 is a deficient number, since it is larger than the sum of its proper divisors (1).

122564113151 is an equidigital number, since it uses as much as digits as its factorization.

122564113151 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 32.

Adding to 122564113151 its reverse (151311465221), we get a palindrome (273875578372).

The spelling of 122564113151 in words is "one hundred twenty-two billion, five hundred sixty-four million, one hundred thirteen thousand, one hundred fifty-one".