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122615246381 is a prime number
BaseRepresentation
bin111001000110001110…
…0000010111000101101
3102201111021012220002112
41302030130002320231
54002104000341011
6132154554133405
711600343253265
oct1621434027055
9381437186075
10122615246381
1148001123471
121b91b721265
13b740c67b34
145d127d67a5
1532c989858b
hex1c8c702e2d

122615246381 has 2 divisors, whose sum is σ = 122615246382. Its totient is φ = 122615246380.

The previous prime is 122615246339. The next prime is 122615246419. The reversal of 122615246381 is 183642516221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122587515625 + 27730756 = 350125^2 + 5266^2 .

It is a cyclic number.

It is not a de Polignac number, because 122615246381 - 26 = 122615246317 is a prime.

It is a super-2 number, since 2×1226152463812 (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 (122615246321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61307623190 + 61307623191.

It is an arithmetic number, because the mean of its divisors is an integer number (61307623191).

Almost surely, 2122615246381 is an apocalyptic number.

It is an amenable number.

122615246381 is a deficient number, since it is larger than the sum of its proper divisors (1).

122615246381 is an equidigital number, since it uses as much as digits as its factorization.

122615246381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138240, while the sum is 41.

The spelling of 122615246381 in words is "one hundred twenty-two billion, six hundred fifteen million, two hundred forty-six thousand, three hundred eighty-one".