Search a number
-
+
10055000909 is a prime number
BaseRepresentation
bin10010101110101001…
…10010001101001101
3221221202020222012002
421113110302031031
5131043040012114
64341425322045
7504113045312
oct112724621515
927852228162
1010055000909
11429a871008
121b47496325
13c43206ba5
146b559cd09
153dcb247de
hex25753234d

10055000909 has 2 divisors, whose sum is σ = 10055000910. Its totient is φ = 10055000908.

The previous prime is 10055000903. The next prime is 10055000951. The reversal of 10055000909 is 90900055001.

10055000909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7915660900 + 2139340009 = 88970^2 + 46253^2 .

It is a cyclic number.

It is not a de Polignac number, because 10055000909 - 28 = 10055000653 is a prime.

It is a super-2 number, since 2×100550009092 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10055000903) 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, 5027500454 + 5027500455.

It is an arithmetic number, because the mean of its divisors is an integer number (5027500455).

Almost surely, 210055000909 is an apocalyptic number.

It is an amenable number.

10055000909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10055000909 is an equidigital number, since it uses as much as digits as its factorization.

10055000909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 29.

The spelling of 10055000909 in words is "ten billion, fifty-five million, nine hundred nine", and thus it is an aban number.