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1009914041 is a prime number
BaseRepresentation
bin111100001100100…
…001000010111001
32121101022221121202
4330030201002321
54032014222131
6244113543545
734012061543
oct7414410271
92541287552
101009914041
11479085404
12242274bb5
131312cb896
14981ac693
155d9ddbcb
hex3c3210b9

1009914041 has 2 divisors, whose sum is σ = 1009914042. Its totient is φ = 1009914040.

The previous prime is 1009914013. The next prime is 1009914071. The reversal of 1009914041 is 1404199001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600054016 + 409860025 = 24496^2 + 20245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1009914041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1009913995 and 1009914013.

It is not a weakly prime, because it can be changed into another prime (1009914071) 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, 504957020 + 504957021.

It is an arithmetic number, because the mean of its divisors is an integer number (504957021).

Almost surely, 21009914041 is an apocalyptic number.

It is an amenable number.

1009914041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009914041 is an equidigital number, since it uses as much as digits as its factorization.

1009914041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1009914041 is about 31779.1447493478. The cubic root of 1009914041 is about 1003.2938191767.

The spelling of 1009914041 in words is "one billion, nine million, nine hundred fourteen thousand, forty-one".