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91264107901 is a prime number
BaseRepresentation
bin101010011111111000…
…0111100010101111101
322201120100112001011111
41110333300330111331
52443402102423101
6105532014322021
76410416055221
oct1247760742575
9281510461144
1091264107901
113578323406a
12158301b9311
1387b59a1415
1445bab58781
15259232c251
hex153fc3c57d

91264107901 has 2 divisors, whose sum is σ = 91264107902. Its totient is φ = 91264107900.

The previous prime is 91264107877. The next prime is 91264107917. The reversal of 91264107901 is 10970146219.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47058624900 + 44205483001 = 216930^2 + 210251^2 .

It is an emirp because it is prime and its reverse (10970146219) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91264107901 - 223 = 91255719293 is a prime.

It is the 302100-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91264107001) by changing a digit.

It is a nontrivial repunit in base 302099.

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, 45632053950 + 45632053951.

It is an arithmetic number, because the mean of its divisors is an integer number (45632053951).

Almost surely, 291264107901 is an apocalyptic number.

91264107901 is the 191065-th centered pentagonal number.

It is an amenable number.

91264107901 is a deficient number, since it is larger than the sum of its proper divisors (1).

91264107901 is an equidigital number, since it uses as much as digits as its factorization.

91264107901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 91264107901 in words is "ninety-one billion, two hundred sixty-four million, one hundred seven thousand, nine hundred one".