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2164902137 is a prime number
BaseRepresentation
bin1000000100001001…
…1100100011111001
312120212122102102122
42001002130203321
513413203332022
6554453211025
7104435236016
oct20102344371
95525572378
102164902137
11a11038022
12505030a75
132866931a8
1416774270d
15ca0d7742
hex8109c8f9

2164902137 has 2 divisors, whose sum is σ = 2164902138. Its totient is φ = 2164902136.

The previous prime is 2164902067. The next prime is 2164902149. The reversal of 2164902137 is 7312094612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2161878016 + 3024121 = 46496^2 + 1739^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164902137 - 212 = 2164898041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2164902097 and 2164902106.

It is not a weakly prime, because it can be changed into another prime (2164902437) 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, 1082451068 + 1082451069.

It is an arithmetic number, because the mean of its divisors is an integer number (1082451069).

Almost surely, 22164902137 is an apocalyptic number.

It is an amenable number.

2164902137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164902137 is an equidigital number, since it uses as much as digits as its factorization.

2164902137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2164902137 is about 46528.5088628467. The cubic root of 2164902137 is about 1293.6379764626.

Adding to 2164902137 its reverse (7312094612), we get a palindrome (9476996749).

The spelling of 2164902137 in words is "two billion, one hundred sixty-four million, nine hundred two thousand, one hundred thirty-seven".