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2164616141 is a prime number
BaseRepresentation
bin1000000100000101…
…0110101111001101
312120212002220010012
42001001112233031
513413120204031
6554443123005
7104432635142
oct20101265715
95525086105
102164616141
11a10962166
12504b13465
132865c2c6c
141676aa3c9
15ca07cb2b
hex81056bcd

2164616141 has 2 divisors, whose sum is σ = 2164616142. Its totient is φ = 2164616140.

The previous prime is 2164616123. The next prime is 2164616147. The reversal of 2164616141 is 1416164612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1466124100 + 698492041 = 38290^2 + 26429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2164616141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2164616098 and 2164616107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164616147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082308070 + 1082308071.

It is an arithmetic number, because the mean of its divisors is an integer number (1082308071).

Almost surely, 22164616141 is an apocalyptic number.

It is an amenable number.

2164616141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164616141 is an equidigital number, since it uses as much as digits as its factorization.

2164616141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 32.

The square root of 2164616141 is about 46525.4354197787. The cubic root of 2164616141 is about 1293.5810082863.

The spelling of 2164616141 in words is "two billion, one hundred sixty-four million, six hundred sixteen thousand, one hundred forty-one".