Search a number
-
+
10252431113 = 1572415937
BaseRepresentation
bin10011000110001011…
…11010111100001001
3222110111202110111212
421203011322330021
5131444110243423
64413201102505
7512031140501
oct114305727411
928414673455
1010252431113
114391259271
121ba1627a35
13c750a15b2
146d38b2a01
15400122578
hex26317af09

10252431113 has 6 divisors (see below), whose sum is σ = 10318173966. Its totient is φ = 10187104512.

The previous prime is 10252431107. The next prime is 10252431139. The reversal of 10252431113 is 31113425201.

10252431113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 737013904 + 9515417209 = 27148^2 + 97547^2 .

It is not a de Polignac number, because 10252431113 - 226 = 10185322249 is a prime.

It is a super-2 number, since 2×102524311132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10252431193) 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 in 5 ways as a sum of consecutive naturals, for example, 183320 + ... + 232617.

It is an arithmetic number, because the mean of its divisors is an integer number (1719695661).

Almost surely, 210252431113 is an apocalyptic number.

It is an amenable number.

10252431113 is a deficient number, since it is larger than the sum of its proper divisors (65742853).

10252431113 is an frugal number, since it uses more digits than its factorization.

10252431113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416251 (or 416094 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10252431113 its reverse (31113425201), we get a palindrome (41365856314).

The spelling of 10252431113 in words is "ten billion, two hundred fifty-two million, four hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 157 24649 415937 65302109 10252431113