Search a number
-
+
13233000130311 = 3132194331946869
BaseRepresentation
bin1100000010010000110001…
…0001011010011100000111
31201212001200112100112020110
43000210030101122130013
53213302141013132221
644051053434004103
72534024036132013
oct300441421323407
951761615315213
1013233000130311
1142420a1654265
121598788b76633
1374cb35a9b300
1433a6a2b8d543
1517e349d02776
hexc090c45a707

13233000130311 has 48 divisors (see below), whose sum is σ = 20578895779200. Its totient is φ = 7535371648896.

The previous prime is 13233000130303. The next prime is 13233000130321. The reversal of 13233000130311 is 11303100033231.

It is not a de Polignac number, because 13233000130311 - 23 = 13233000130303 is a prime.

It is a super-2 number, since 2×132330001303112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233000130321) 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 47 ways as a sum of consecutive naturals, for example, 15559216 + ... + 16387653.

It is an arithmetic number, because the mean of its divisors is an integer number (428726995400).

Almost surely, 213233000130311 is an apocalyptic number.

13233000130311 is a deficient number, since it is larger than the sum of its proper divisors (7345895648889).

13233000130311 is a wasteful number, since it uses less digits than its factorization.

13233000130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31946960 (or 31946947 counting only the distinct ones).

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

Adding to 13233000130311 its reverse (11303100033231), we get a palindrome (24536100163542).

The spelling of 13233000130311 in words is "thirteen trillion, two hundred thirty-three billion, one hundred thirty thousand, three hundred eleven".

Divisors: 1 3 13 19 39 43 57 129 169 247 507 559 741 817 1677 2451 3211 7267 9633 10621 21801 31863 138073 414219 31946869 95840607 415309297 606990511 1245927891 1373715367 1820971533 4121146101 5399020861 7890876643 16197062583 17858299771 23672629929 26100591973 53574899313 78301775919 102581396359 232157897023 307744189077 339307695649 696473691069 1017923086947 4411000043437 13233000130311