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123311249 is a prime number
BaseRepresentation
bin1110101100110…
…01010010010001
322121000212020022
413112121102101
5223031424444
620122553225
73025062005
oct726312221
9277025208
10123311249
1163673626
1235368815
131c716149
141253c705
15ac5b9ee
hex7599491

123311249 has 2 divisors, whose sum is σ = 123311250. Its totient is φ = 123311248.

The previous prime is 123311207. The next prime is 123311267. The reversal of 123311249 is 942113321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93412225 + 29899024 = 9665^2 + 5468^2 .

It is an emirp because it is prime and its reverse (942113321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123311249 is a prime.

It is not a weakly prime, because it can be changed into another prime (123311299) 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, 61655624 + 61655625.

It is an arithmetic number, because the mean of its divisors is an integer number (61655625).

Almost surely, 2123311249 is an apocalyptic number.

It is an amenable number.

123311249 is a deficient number, since it is larger than the sum of its proper divisors (1).

123311249 is an equidigital number, since it uses as much as digits as its factorization.

123311249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 123311249 is about 11104.5598291873. The cubic root of 123311249 is about 497.7381151836.

The spelling of 123311249 in words is "one hundred twenty-three million, three hundred eleven thousand, two hundred forty-nine".