Search a number
-
+
131020430244003 = 32673132122037433
BaseRepresentation
bin11101110010100110010010…
…001100111111100010100011
3122011220102122001112122022200
4131302212102030333202203
5114133114320120302003
61142353542115304243
736411625254522216
oct3562462214774243
9564812561478280
10131020430244003
11388244a81a48a3
1212840778bab083
1358152343c8cb1
14244d5cbac577d
15102321e7156a3
hex77299233f8a3

131020430244003 has 48 divisors (see below), whose sum is σ = 189788044459104. Its totient is φ = 87099862671360.

The previous prime is 131020430243987. The next prime is 131020430244097. The reversal of 131020430244003 is 300442034020131.

131020430244003 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 204 + 30 + 24 + 400 + 3 = 666.

It is not a de Polignac number, because 131020430244003 - 24 = 131020430243987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131020430242003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17626853575 + ... + 17626861007.

It is an arithmetic number, because the mean of its divisors is an integer number (3953917592898).

Almost surely, 2131020430244003 is an apocalyptic number.

131020430244003 is a deficient number, since it is larger than the sum of its proper divisors (58767614215101).

131020430244003 is a wasteful number, since it uses less digits than its factorization.

131020430244003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131020430244003 its reverse (300442034020131), we get a palindrome (431462464264134).

The spelling of 131020430244003 in words is "one hundred thirty-one trillion, twenty billion, four hundred thirty million, two hundred forty-four thousand, three".

Divisors: 1 3 9 673 1321 2019 2203 3963 6057 6609 7433 11889 19827 22299 66897 889033 1482619 2667099 2910163 4447857 5002409 8001297 8730489 9818993 13343571 15007227 16374899 26191467 29456979 45021681 49124697 88370937 147374091 1958539699 5875619097 6608182289 11020307027 17626857291 19824546867 21631241579 33060921081 59473640601 64893724737 99182763243 194681174211 14557825582667 43673476748001 131020430244003