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311011220249 is a prime number
BaseRepresentation
bin1001000011010011011…
…01101001101100011001
31002201202220110222021022
410201221231221230121
520043422333021444
6354513201452225
731320101516312
oct4415155515431
91081686428238
10311011220249
1110a9987a9024
1250339041075
1323436184352
14110a56d3609
1581542179ee
hex4869b69b19

311011220249 has 2 divisors, whose sum is σ = 311011220250. Its totient is φ = 311011220248.

The previous prime is 311011220159. The next prime is 311011220269. The reversal of 311011220249 is 942022110113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242390798224 + 68620422025 = 492332^2 + 261955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311011220249 is a prime.

It is not a weakly prime, because it can be changed into another prime (311011220269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155505610124 + 155505610125.

It is an arithmetic number, because the mean of its divisors is an integer number (155505610125).

Almost surely, 2311011220249 is an apocalyptic number.

It is an amenable number.

311011220249 is a deficient number, since it is larger than the sum of its proper divisors (1).

311011220249 is an equidigital number, since it uses as much as digits as its factorization.

311011220249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 311011220249 in words is "three hundred eleven billion, eleven million, two hundred twenty thousand, two hundred forty-nine".