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91228000313 is a prime number
BaseRepresentation
bin101010011110110011…
…1001101000000111001
322201110211120120212102
41110331213031000321
52443313332002223
6105524244353145
76406500131252
oct1247547150071
9281424516772
1091228000313
113576491198a
12158200a57b5
1387ab36b498
1445b6039b29
15258e098928
hex153d9cd039

91228000313 has 2 divisors, whose sum is σ = 91228000314. Its totient is φ = 91228000312.

The previous prime is 91228000271. The next prime is 91228000343. The reversal of 91228000313 is 31300082219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49794583609 + 41433416704 = 223147^2 + 203552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-91228000313 is a prime.

It is a super-2 number, since 2×912280003132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (91228000343) 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, 45614000156 + 45614000157.

It is an arithmetic number, because the mean of its divisors is an integer number (45614000157).

Almost surely, 291228000313 is an apocalyptic number.

It is an amenable number.

91228000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

91228000313 is an equidigital number, since it uses as much as digits as its factorization.

91228000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 91228000313 in words is "ninety-one billion, two hundred twenty-eight million, three hundred thirteen", and thus it is an aban number.