Search a number
-
+
10132230013 is a prime number
BaseRepresentation
bin10010110111110110…
…11000111101111101
3222011010120121121021
421123323120331331
5131222322330023
64353224504141
7506041351123
oct113373307575
928133517537
1010132230013
11432a41a414
121b6931b051
13c56206c99
146c1943913
153e47cc35d
hex25bed8f7d

10132230013 has 2 divisors, whose sum is σ = 10132230014. Its totient is φ = 10132230012.

The previous prime is 10132229941. The next prime is 10132230019. The reversal of 10132230013 is 31003223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6102265689 + 4029964324 = 78117^2 + 63482^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132230013 - 29 = 10132229501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132230019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066115006 + 5066115007.

It is an arithmetic number, because the mean of its divisors is an integer number (5066115007).

Almost surely, 210132230013 is an apocalyptic number.

It is an amenable number.

10132230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132230013 is an equidigital number, since it uses as much as digits as its factorization.

10132230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10132230013 its reverse (31003223101), we get a palindrome (41135453114).

The spelling of 10132230013 in words is "ten billion, one hundred thirty-two million, two hundred thirty thousand, thirteen".