Search a number
-
+
2105963137 is a prime number
BaseRepresentation
bin111110110000110…
…0111001010000001
312102202202000022201
41331201213022001
513303111310022
6544550033201
7103121251135
oct17541471201
95382660281
102105963137
11990841303
124a9348801
132773c8145
1415d99d3c5
15c4d44127
hex7d867281

2105963137 has 2 divisors, whose sum is σ = 2105963138. Its totient is φ = 2105963136.

The previous prime is 2105963129. The next prime is 2105963159. The reversal of 2105963137 is 7313695012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1571012496 + 534950641 = 39636^2 + 23129^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105963137 - 23 = 2105963129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2105963096 and 2105963105.

It is not a weakly prime, because it can be changed into another prime (2105963107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052981568 + 1052981569.

It is an arithmetic number, because the mean of its divisors is an integer number (1052981569).

Almost surely, 22105963137 is an apocalyptic number.

It is an amenable number.

2105963137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105963137 is an equidigital number, since it uses as much as digits as its factorization.

2105963137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 2105963137 is about 45890.7739856281. The cubic root of 2105963137 is about 1281.7901256900.

The spelling of 2105963137 in words is "two billion, one hundred five million, nine hundred sixty-three thousand, one hundred thirty-seven".