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2164292129 is a prime number
BaseRepresentation
bin1000000100000000…
…0111101000100001
312120211111102122202
42001000013220201
513413024322004
6554432142545
7104430115406
oct20100075041
95524442582
102164292129
11a1076078a
12504997a55
1328650b63c
141676242ad
15ca016b1e
hex81007a21

2164292129 has 2 divisors, whose sum is σ = 2164292130. Its totient is φ = 2164292128.

The previous prime is 2164292113. The next prime is 2164292159. The reversal of 2164292129 is 9212924612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2136750625 + 27541504 = 46225^2 + 5248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164292129 - 24 = 2164292113 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 = 2164292092 and 2164292101.

It is not a weakly prime, because it can be changed into another prime (2164292159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082146064 + 1082146065.

It is an arithmetic number, because the mean of its divisors is an integer number (1082146065).

Almost surely, 22164292129 is an apocalyptic number.

It is an amenable number.

2164292129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164292129 is an equidigital number, since it uses as much as digits as its factorization.

2164292129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 38.

The square root of 2164292129 is about 46521.9531941642. The cubic root of 2164292129 is about 1293.5164615558.

The spelling of 2164292129 in words is "two billion, one hundred sixty-four million, two hundred ninety-two thousand, one hundred twenty-nine".