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122966681 is a prime number
BaseRepresentation
bin1110101010001…
…01001010011001
322120101100120112
413111011022121
5222434413211
620111334105
73022125305
oct725051231
9276340515
10122966681
1163458762
1235221335
131c625366
141248cd05
15abde88b
hex7545299

122966681 has 2 divisors, whose sum is σ = 122966682. Its totient is φ = 122966680.

The previous prime is 122966663. The next prime is 122966693. The reversal of 122966681 is 186669221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 59923081 = 7940^2 + 7741^2 .

It is a cyclic number.

It is not a de Polignac number, because 122966681 - 210 = 122965657 is a prime.

It is a super-2 number, since 2×1229666812 = 30241609272311522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122966881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61483340 + 61483341.

It is an arithmetic number, because the mean of its divisors is an integer number (61483341).

Almost surely, 2122966681 is an apocalyptic number.

It is an amenable number.

122966681 is a deficient number, since it is larger than the sum of its proper divisors (1).

122966681 is an equidigital number, since it uses as much as digits as its factorization.

122966681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 41.

The square root of 122966681 is about 11089.0342681408. The cubic root of 122966681 is about 497.2740736585.

The spelling of 122966681 in words is "one hundred twenty-two million, nine hundred sixty-six thousand, six hundred eighty-one".