Search a number
-
+
12303333131133 = 3111919622540879
BaseRepresentation
bin1011001100001001011111…
…0011010000001101111101
31121120012001102212201212210
42303002113303100031331
53103034211240144013
642100023451451033
72406613031046342
oct263022763201575
947505042781783
1012303333131133
113a138a5894930
121468575456a79
136b3278c30a25
143076ad6827c9
15165088028cc3
hexb3097cd037d

12303333131133 has 16 divisors (see below), whose sum is σ = 18837639244800. Its totient is φ = 7064114716080.

The previous prime is 12303333131123. The next prime is 12303333131147. The reversal of 12303333131133 is 33113133330321.

It is not a de Polignac number, because 12303333131133 - 226 = 12303266022269 is a prime.

It is a super-2 number, since 2×123033331311332 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12303333131133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303333131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9811269813 + ... + 9811271066.

It is an arithmetic number, because the mean of its divisors is an integer number (1177352452800).

Almost surely, 212303333131133 is an apocalyptic number.

It is an amenable number.

12303333131133 is a deficient number, since it is larger than the sum of its proper divisors (6534306113667).

12303333131133 is a wasteful number, since it uses less digits than its factorization.

12303333131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19622540912.

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 12303333131133 its reverse (33113133330321), we get a palindrome (45416466461454).

The spelling of 12303333131133 in words is "twelve trillion, three hundred three billion, three hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 209 627 19622540879 58867622637 215847949669 372828276701 647543849007 1118484830103 4101111043711 12303333131133