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813802083301 is a prime number
BaseRepresentation
bin10111101011110100110…
…00100101001111100101
32212210120021012012220001
423311322120211033211
5101313131313131201
61421504442541301
7112536526400644
oct13657230451745
92783507165801
10813802083301
1129414a073209
12111878807831
135b98358057c
142b56143d35b
151627ed7d301
hexbd7a6253e5

813802083301 has 2 divisors, whose sum is σ = 813802083302. Its totient is φ = 813802083300.

The previous prime is 813802083271. The next prime is 813802083359. The reversal of 813802083301 is 103380208318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416399184100 + 397402899201 = 645290^2 + 630399^2 .

It is a cyclic number.

It is not a de Polignac number, because 813802083301 - 215 = 813802050533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813802083361) 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, 406901041650 + 406901041651.

It is an arithmetic number, because the mean of its divisors is an integer number (406901041651).

Almost surely, 2813802083301 is an apocalyptic number.

It is an amenable number.

813802083301 is a deficient number, since it is larger than the sum of its proper divisors (1).

813802083301 is an equidigital number, since it uses as much as digits as its factorization.

813802083301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 813802083301 in words is "eight hundred thirteen billion, eight hundred two million, eighty-three thousand, three hundred one".