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122164241 is a prime number
BaseRepresentation
bin1110100100000…
…01010000010001
322111212120211112
413102001100101
5222233223431
620042223105
73012243653
oct722012021
9274776745
10122164241
1162a5a891
1234ab4a95
131c404044
14123206d3
15aad1c2b
hex7481411

122164241 has 2 divisors, whose sum is σ = 122164242. Its totient is φ = 122164240.

The previous prime is 122164223. The next prime is 122164267. The reversal of 122164241 is 142461221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121000000 + 1164241 = 11000^2 + 1079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122164241 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122164271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61082120 + 61082121.

It is an arithmetic number, because the mean of its divisors is an integer number (61082121).

Almost surely, 2122164241 is an apocalyptic number.

It is an amenable number.

122164241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122164241 is an equidigital number, since it uses as much as digits as its factorization.

122164241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

The square root of 122164241 is about 11052.7933573373. The cubic root of 122164241 is about 496.1900299972.

The spelling of 122164241 in words is "one hundred twenty-two million, one hundred sixty-four thousand, two hundred forty-one".