Search a number
-
+
10131330999 = 3173119333203
BaseRepresentation
bin10010110111101111…
…11101011110110111
3222011001212221101110
421123313331132313
5131222110042444
64353153330103
7506030615106
oct113367753667
928131787343
1010131330999
114329965a29
121b68b66933
13c55c80a1a
146c178c03d
153e46a0cb9
hex25bdfd7b7

10131330999 has 32 divisors (see below), whose sum is σ = 14841391104. Its totient is φ = 6119792640.

The previous prime is 10131330991. The next prime is 10131331027. The reversal of 10131330999 is 99903313101.

It is not a de Polignac number, because 10131330999 - 23 = 10131330991 is a prime.

It is a super-2 number, since 2×101313309992 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131330991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288532 + ... + 321734.

It is an arithmetic number, because the mean of its divisors is an integer number (463793472).

Almost surely, 210131330999 is an apocalyptic number.

10131330999 is a deficient number, since it is larger than the sum of its proper divisors (4710060105).

10131330999 is a wasteful number, since it uses less digits than its factorization.

10131330999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33447.

The product of its (nonzero) digits is 19683, while the sum is 39.

The spelling of 10131330999 in words is "ten billion, one hundred thirty-one million, three hundred thirty thousand, nine hundred ninety-nine".

Divisors: 1 3 17 31 51 93 193 527 579 1581 3281 5983 9843 17949 33203 99609 101711 305133 564451 1029293 1693353 3087879 6408179 17497981 19224537 52493943 108939043 198653549 326817129 595960647 3377110333 10131330999