Search a number
-
+
2120913617 is a prime number
BaseRepresentation
bin111111001101010…
…1001001011010001
312110210212120112012
41332122221023101
513320423213432
6550242312305
7103362316424
oct17632511321
95423776465
102120913617
11999222879
124b2358695
1327a531094
141619719bb
15c62e8cb2
hex7e6a92d1

2120913617 has 2 divisors, whose sum is σ = 2120913618. Its totient is φ = 2120913616.

The previous prime is 2120913583. The next prime is 2120913631. The reversal of 2120913617 is 7163190212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1605124096 + 515789521 = 40064^2 + 22711^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120913617 - 224 = 2104136401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120913517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060456808 + 1060456809.

It is an arithmetic number, because the mean of its divisors is an integer number (1060456809).

Almost surely, 22120913617 is an apocalyptic number.

It is an amenable number.

2120913617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120913617 is an equidigital number, since it uses as much as digits as its factorization.

2120913617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 2120913617 is about 46053.3779108547. The cubic root of 2120913617 is about 1284.8161691534.

The spelling of 2120913617 in words is "two billion, one hundred twenty million, nine hundred thirteen thousand, six hundred seventeen".