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900790801 is a prime number
BaseRepresentation
bin110101101100001…
…111101000010001
32022202222220200021
4311230033220101
53321100301201
6225215023441
731215411151
oct6554175021
92282886607
10900790801
11422522509
1221180ab81
13114812611
14878c4761
1554135ea1
hex35b0fa11

900790801 has 2 divisors, whose sum is σ = 900790802. Its totient is φ = 900790800.

The previous prime is 900790771. The next prime is 900790811. The reversal of 900790801 is 108097009.

900790801 is digitally balanced in base 2, 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., 658179025 + 242611776 = 25655^2 + 15576^2 .

It is a cyclic number.

It is not a de Polignac number, because 900790801 - 217 = 900659729 is a prime.

It is a super-2 number, since 2×9007908012 = 1622848134332443202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (900790811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450395400 + 450395401.

It is an arithmetic number, because the mean of its divisors is an integer number (450395401).

Almost surely, 2900790801 is an apocalyptic number.

It is an amenable number.

900790801 is a deficient number, since it is larger than the sum of its proper divisors (1).

900790801 is an equidigital number, since it uses as much as digits as its factorization.

900790801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 900790801 is about 30013.1771227239. The cubic root of 900790801 is about 965.7720832931.

It can be divided in two parts, 90079080 and 1, that added together give a square (90079081 = 94912).

The spelling of 900790801 in words is "nine hundred million, seven hundred ninety thousand, eight hundred one".