Search a number
-
+
10131320331 = 3211157964811
BaseRepresentation
bin10010110111101111…
…11010111000001011
3222011001212101202100
421123313322320023
5131222104222311
64353153204443
7506030542026
oct113367727013
928131771670
1010131320331
114329958a10
121b68b60723
13c55c78c02
146c17881bd
153e469ca56
hex25bdfae0b

10131320331 has 24 divisors (see below), whose sum is σ = 15974861760. Its totient is φ = 6136210800.

The previous prime is 10131320281. The next prime is 10131320341. The reversal of 10131320331 is 13302313101.

It is a happy number.

10131320331 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 20 + 331 = 666.

10131320331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131320331 - 223 = 10122931723 is a prime.

It is a super-2 number, since 2×101313203312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131320341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123916 + ... + 188726.

It is an arithmetic number, because the mean of its divisors is an integer number (665619240).

Almost surely, 210131320331 is an apocalyptic number.

10131320331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131320331 is a deficient number, since it is larger than the sum of its proper divisors (5843541429).

10131320331 is a wasteful number, since it uses less digits than its factorization.

10131320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66407 (or 66404 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10131320331 its reverse (13302313101), we get a palindrome (23433633432).

The spelling of 10131320331 in words is "ten billion, one hundred thirty-one million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 1579 4737 14211 17369 52107 64811 156321 194433 583299 712921 2138763 6416289 102336569 307009707 921029121 1125702259 3377106777 10131320331