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90208596301 is a prime number
BaseRepresentation
bin101010000000011011…
…0011111000101001101
322121211210101111110021
41110000312133011031
52434221400040201
6105235151142141
76342311263015
oct1240066370515
9277753344407
1090208596301
113529144562a
1215596814951
1386780c9245
14451a8bac45
15252e832ea1
hex1500d9f14d

90208596301 has 2 divisors, whose sum is σ = 90208596302. Its totient is φ = 90208596300.

The previous prime is 90208596299. The next prime is 90208596307. The reversal of 90208596301 is 10369580209.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75754305225 + 14454291076 = 275235^2 + 120226^2 .

It is an emirp because it is prime and its reverse (10369580209) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90208596301 - 21 = 90208596299 is a prime.

Together with 90208596299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90208596307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45104298150 + 45104298151.

It is an arithmetic number, because the mean of its divisors is an integer number (45104298151).

Almost surely, 290208596301 is an apocalyptic number.

It is an amenable number.

90208596301 is a deficient number, since it is larger than the sum of its proper divisors (1).

90208596301 is an equidigital number, since it uses as much as digits as its factorization.

90208596301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 90208596301 in words is "ninety billion, two hundred eight million, five hundred ninety-six thousand, three hundred one".