Search a number
-
+
10120313009 is a prime number
BaseRepresentation
bin10010110110011011…
…11011100010110001
3222010022011011112202
421123031323202301
5131211300004014
64352121232545
7505535145512
oct113315734261
928108134482
1010120313009
11432371aa54
121b65332755
13c538c39c1
146c0120a09
153e37263de
hex25b37b8b1

10120313009 has 2 divisors, whose sum is σ = 10120313010. Its totient is φ = 10120313008.

The previous prime is 10120312999. The next prime is 10120313017. The reversal of 10120313009 is 90031302101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6882361600 + 3237951409 = 82960^2 + 56903^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10120313009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120313039) 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, 5060156504 + 5060156505.

It is an arithmetic number, because the mean of its divisors is an integer number (5060156505).

Almost surely, 210120313009 is an apocalyptic number.

It is an amenable number.

10120313009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120313009 is an equidigital number, since it uses as much as digits as its factorization.

10120313009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10120313009 in words is "ten billion, one hundred twenty million, three hundred thirteen thousand, nine".