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1009133921 is a prime number
BaseRepresentation
bin111100001001100…
…010100101100001
32121022212022111102
4330021202211201
54031314241141
6244045124145
734002332255
oct7411424541
92538768442
101009133921
114786a2284
12241b59655
131310b7783
1498048265
155d8d799b
hex3c262961

1009133921 has 2 divisors, whose sum is σ = 1009133922. Its totient is φ = 1009133920.

The previous prime is 1009133911. The next prime is 1009133927. The reversal of 1009133921 is 1293319001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 963233296 + 45900625 = 31036^2 + 6775^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009133921 - 226 = 942025057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009133927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504566960 + 504566961.

It is an arithmetic number, because the mean of its divisors is an integer number (504566961).

Almost surely, 21009133921 is an apocalyptic number.

It is an amenable number.

1009133921 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009133921 is an equidigital number, since it uses as much as digits as its factorization.

1009133921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 1009133921 is about 31766.8682907208. The cubic root of 1009133921 is about 1003.0354172529.

The spelling of 1009133921 in words is "one billion, nine million, one hundred thirty-three thousand, nine hundred twenty-one".