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8027242313 is a prime number
BaseRepresentation
bin1110111100111010…
…11111111101001001
3202201102200011022212
413132131133331021
5112414433223223
63404311354505
7402631301546
oct73635377511
922642604285
108027242313
11344a194a62
121680382a35
139ac090b2c
14562159bcd
1531eacc278
hex1de75ff49

8027242313 has 2 divisors, whose sum is σ = 8027242314. Its totient is φ = 8027242312.

The previous prime is 8027242271. The next prime is 8027242319. The reversal of 8027242313 is 3132427208.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5539527184 + 2487715129 = 74428^2 + 49877^2 .

It is a cyclic number.

It is not a de Polignac number, because 8027242313 - 210 = 8027241289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8027242313.

It is not a weakly prime, because it can be changed into another prime (8027242319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4013621156 + 4013621157.

It is an arithmetic number, because the mean of its divisors is an integer number (4013621157).

Almost surely, 28027242313 is an apocalyptic number.

It is an amenable number.

8027242313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8027242313 is an equidigital number, since it uses as much as digits as its factorization.

8027242313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 8027242313 is about 89594.8788324422. The cubic root of 8027242313 is about 2002.2676207264.

The spelling of 8027242313 in words is "eight billion, twenty-seven million, two hundred forty-two thousand, three hundred thirteen".