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2211012961 is a prime number
BaseRepresentation
bin1000001111001001…
…0110000101100001
312201002102002120221
42003302112011201
514012004403321
61003221403041
7105535204633
oct20362260541
95632362527
102211012961
11a35071843
12518569481
132930b92c1
1416d906a53
15ce194e41
hex83c96161

2211012961 has 2 divisors, whose sum is σ = 2211012962. Its totient is φ = 2211012960.

The previous prime is 2211012949. The next prime is 2211012971. The reversal of 2211012961 is 1692101122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2118852961 + 92160000 = 46031^2 + 9600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211012961 - 25 = 2211012929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211012971) 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, 1105506480 + 1105506481.

It is an arithmetic number, because the mean of its divisors is an integer number (1105506481).

Almost surely, 22211012961 is an apocalyptic number.

It is an amenable number.

2211012961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211012961 is an equidigital number, since it uses as much as digits as its factorization.

2211012961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 2211012961 is about 47021.4096024354. The cubic root of 2211012961 is about 1302.7580421133.

The spelling of 2211012961 in words is "two billion, two hundred eleven million, twelve thousand, nine hundred sixty-one".