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122331266413 is a prime number
BaseRepresentation
bin111000111101110000…
…0101111110101101101
3102200202110212012210221
41301323200233311231
54001013301011123
6132110451331341
711560324415326
oct1617340576555
9380673765727
10122331266413
11479758a1084
121b8605b0b51
13b6c7188a55
145cc6bd344d
1532ae9a125d
hex1c7b82fd6d

122331266413 has 2 divisors, whose sum is σ = 122331266414. Its totient is φ = 122331266412.

The previous prime is 122331266383. The next prime is 122331266443. The reversal of 122331266413 is 314662133221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (122331266383) and next prime (122331266443).

It can be written as a sum of positive squares in only one way, i.e., 98990149129 + 23341117284 = 314627^2 + 152778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122331266413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122331266443) 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, 61165633206 + 61165633207.

It is an arithmetic number, because the mean of its divisors is an integer number (61165633207).

Almost surely, 2122331266413 is an apocalyptic number.

It is an amenable number.

122331266413 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331266413 is an equidigital number, since it uses as much as digits as its factorization.

122331266413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 34.

Adding to 122331266413 its reverse (314662133221), we get a palindrome (436993399634).

The spelling of 122331266413 in words is "one hundred twenty-two billion, three hundred thirty-one million, two hundred sixty-six thousand, four hundred thirteen".