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122646241 is a prime number
BaseRepresentation
bin1110100111101…
…10111011100001
322112210002000101
413103312323201
5222344134431
620100422401
73016322134
oct723667341
9275702011
10122646241
1163259a33
12350a7a01
131c542553
141240821b
15ab79961
hex74f6ee1

122646241 has 2 divisors, whose sum is σ = 122646242. Its totient is φ = 122646240.

The previous prime is 122646239. The next prime is 122646269. The reversal of 122646241 is 142646221.

It is an a-pointer prime, because the next prime (122646269) can be obtained adding 122646241 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73702225 + 48944016 = 8585^2 + 6996^2 .

It is a cyclic number.

It is not a de Polignac number, because 122646241 - 21 = 122646239 is a prime.

Together with 122646239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122646541) 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, 61323120 + 61323121.

It is an arithmetic number, because the mean of its divisors is an integer number (61323121).

Almost surely, 2122646241 is an apocalyptic number.

It is an amenable number.

122646241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122646241 is an equidigital number, since it uses as much as digits as its factorization.

122646241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 28.

The square root of 122646241 is about 11074.5763350116. The cubic root of 122646241 is about 496.8417475525.

The spelling of 122646241 in words is "one hundred twenty-two million, six hundred forty-six thousand, two hundred forty-one".