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9182090909 is a prime number
BaseRepresentation
bin10001000110100101…
…11001011010011101
3212200220201112210002
420203102321122131
5122301103402114
64115044024045
7443353325225
oct104322713235
925626645702
109182090909
113992061892
121943092025
13b34406ab4
14631695085
1538b1997de
hex2234b969d

9182090909 has 2 divisors, whose sum is σ = 9182090910. Its totient is φ = 9182090908.

The previous prime is 9182090873. The next prime is 9182090927. The reversal of 9182090909 is 9090902819.

9182090909 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., 9181855684 + 235225 = 95822^2 + 485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9182090909 is a prime.

It is a super-2 number, since 2×91820909092 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

9182090909 is a modest number, since divided by 90909 gives 9182 as remainder.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9182090009) 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, 4591045454 + 4591045455.

It is an arithmetic number, because the mean of its divisors is an integer number (4591045455).

Almost surely, 29182090909 is an apocalyptic number.

It is an amenable number.

9182090909 is a deficient number, since it is larger than the sum of its proper divisors (1).

9182090909 is an equidigital number, since it uses as much as digits as its factorization.

9182090909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 47.

The square root of 9182090909 is about 95823.2273981627. The cubic root of 9182090909 is about 2094.0185733159.

The spelling of 9182090909 in words is "nine billion, one hundred eighty-two million, ninety thousand, nine hundred nine".