Search a number
-
+
2101131689 is a prime number
BaseRepresentation
bin111110100111100…
…1011100110101001
312102102122112211012
41331033023212221
513300342203224
6544254313305
7103032216236
oct17517134651
95372575735
102101131689
11989041378
124a77b8835
132763c5cb7
1415d0a278d
15c46dc80e
hex7d3cb9a9

2101131689 has 2 divisors, whose sum is σ = 2101131690. Its totient is φ = 2101131688.

The previous prime is 2101131679. The next prime is 2101131707. The reversal of 2101131689 is 9861311012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1361019664 + 740112025 = 36892^2 + 27205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101131689 - 28 = 2101131433 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101131619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050565844 + 1050565845.

It is an arithmetic number, because the mean of its divisors is an integer number (1050565845).

Almost surely, 22101131689 is an apocalyptic number.

It is an amenable number.

2101131689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101131689 is an equidigital number, since it uses as much as digits as its factorization.

2101131689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 2101131689 is about 45838.1030257579. The cubic root of 2101131689 is about 1280.8091581788.

The spelling of 2101131689 in words is "two billion, one hundred one million, one hundred thirty-one thousand, six hundred eighty-nine".