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7331000077 is a prime number
BaseRepresentation
bin1101101001111011…
…00010111100001101
3200220220120101112101
412310331202330031
5110003214000302
63211240435101
7346445321032
oct66475427415
920826511471
107331000077
113122181955
121507178a91
138caa68c8b
144d78bd389
152cd8ed287
hex1b4f62f0d

7331000077 has 2 divisors, whose sum is σ = 7331000078. Its totient is φ = 7331000076.

The previous prime is 7331000023. The next prime is 7331000081. The reversal of 7331000077 is 7700001337.

7331000077 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5297801796 + 2033198281 = 72786^2 + 45091^2 .

It is a cyclic number.

It is not a de Polignac number, because 7331000077 - 215 = 7330967309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7331001077) 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, 3665500038 + 3665500039.

It is an arithmetic number, because the mean of its divisors is an integer number (3665500039).

Almost surely, 27331000077 is an apocalyptic number.

It is an amenable number.

7331000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

7331000077 is an equidigital number, since it uses as much as digits as its factorization.

7331000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3087, while the sum is 28.

The square root of 7331000077 is about 85621.2594920210. The cubic root of 7331000077 is about 1942.6194887703.

The spelling of 7331000077 in words is "seven billion, three hundred thirty-one million, seventy-seven", and thus it is an aban number.