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801337093 is a prime number
BaseRepresentation
bin101111110000110…
…110111100000101
32001211212010211121
4233300312330011
53120120241333
6211303233541
725600152514
oct5760667405
92054763747
10801337093
11381374467
121a44488b1
13ca03067b
14785d667b
154a53d32d
hex2fc36f05

801337093 has 2 divisors, whose sum is σ = 801337094. Its totient is φ = 801337092.

The previous prime is 801337057. The next prime is 801337123. The reversal of 801337093 is 390733108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631868769 + 169468324 = 25137^2 + 13018^2 .

It is a cyclic number.

It is not a de Polignac number, because 801337093 - 29 = 801336581 is a prime.

It is a super-2 number, since 2×8013370932 = 1284282273235381298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (801337393) 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, 400668546 + 400668547.

It is an arithmetic number, because the mean of its divisors is an integer number (400668547).

Almost surely, 2801337093 is an apocalyptic number.

It is an amenable number.

801337093 is a deficient number, since it is larger than the sum of its proper divisors (1).

801337093 is an equidigital number, since it uses as much as digits as its factorization.

801337093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 801337093 is about 28307.8980675005. The cubic root of 801337093 is about 928.8346651821.

The spelling of 801337093 in words is "eight hundred one million, three hundred thirty-seven thousand, ninety-three".