Search a number
-
+
10133131332 = 223844427611
BaseRepresentation
bin10010110111111101…
…10101000001000100
3222011012021101222110
421123332311001010
5131223040200312
64353300101020
7506052123642
oct113376650104
928135241873
1010133131332
11432a985605
121b69694770
13c564612cc
146c1ada192
153e490943c
hex25bfb5044

10133131332 has 12 divisors (see below), whose sum is σ = 23643973136. Its totient is φ = 3377710440.

The previous prime is 10133131313. The next prime is 10133131381. The reversal of 10133131332 is 23313133101.

10133131332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 10133131299 and 10133131308.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 422213794 + ... + 422213817.

Almost surely, 210133131332 is an apocalyptic number.

10133131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133131332 is an abundant number, since it is smaller than the sum of its proper divisors (13510841804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133131332 is a wasteful number, since it uses less digits than its factorization.

10133131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844427618 (or 844427616 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10133131332 its reverse (23313133101), we get a palindrome (33446264433).

The spelling of 10133131332 in words is "ten billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 844427611 1688855222 2533282833 3377710444 5066565666 10133131332