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900031130009 = 11661429728807
BaseRepresentation
bin11010001100011100000…
…10010010100110011001
310012001010201100122120122
431012032002102212121
5104221230432130014
61525245114403025
7122011416243404
oct15061602224631
93161121318518
10900031130009
11317779122280
12126522730475
1366b4606852b
14317c15aad3b
151862a12a58e
hexd18e092999

900031130009 has 16 divisors (see below), whose sum is σ = 983600532096. Its totient is φ = 816753801600.

The previous prime is 900031129997. The next prime is 900031130023.

900031130009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900031130009 - 24 = 900031129993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 900031130009.

It is not an unprimeable number, because it can be changed into a prime (900031130069) 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 15 ways as a sum of consecutive naturals, for example, 31229084 + ... + 31257890.

It is an arithmetic number, because the mean of its divisors is an integer number (61475033256).

Almost surely, 2900031130009 is an apocalyptic number.

It is an amenable number.

900031130009 is a deficient number, since it is larger than the sum of its proper divisors (83569402087).

900031130009 is a wasteful number, since it uses less digits than its factorization.

900031130009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33776.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 900031130009 in words is "nine hundred billion, thirty-one million, one hundred thirty thousand, nine".

Divisors: 1 11 661 4297 7271 28807 47267 316877 2840317 19041427 31243487 123783679 209455697 1361620469 81821011819 900031130009