Search a number
-
+
10131113233 is a prime number
BaseRepresentation
bin10010110111101110…
…01000010100010001
3222011001110212200001
421123313020110101
5131222031110413
64353144530001
7506026020163
oct113367102421
928131425601
1010131113233
11432982735a
121b68a80901
13c55c05877
146c1732933
153e465b4dd
hex25bdc8511

10131113233 has 2 divisors, whose sum is σ = 10131113234. Its totient is φ = 10131113232.

The previous prime is 10131113231. The next prime is 10131113249. The reversal of 10131113233 is 33231113101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9980609409 + 150503824 = 99903^2 + 12268^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131113233 - 21 = 10131113231 is a prime.

Together with 10131113231, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10131113233.

It is not a weakly prime, because it can be changed into another prime (10131113231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065556616 + 5065556617.

It is an arithmetic number, because the mean of its divisors is an integer number (5065556617).

Almost surely, 210131113233 is an apocalyptic number.

It is an amenable number.

10131113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131113233 is an equidigital number, since it uses as much as digits as its factorization.

10131113233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10131113233 its reverse (33231113101), we get a palindrome (43362226334).

The spelling of 10131113233 in words is "ten billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred thirty-three".