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13412420234213 = 7111353252811721
BaseRepresentation
bin1100001100101101001010…
…0010110010101111100101
31202111012210121221011120212
43003023102202302233211
53224222114034443323
644305325241305205
72553005163633650
oct303132242625745
952435717834525
1013412420234213
1143011a2619970
121607500495205
13763a2a535770
14345243956897
15183d4b65eb78
hexc32d28b2be5

13412420234213 has 32 divisors (see below), whose sum is σ = 18348063535872. Its totient is φ = 9465270796800.

The previous prime is 13412420234203. The next prime is 13412420234233. The reversal of 13412420234213 is 31243202421431.

It is a happy number.

13412420234213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13412420234213 - 210 = 13412420233189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13412420234213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412420234203) 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, 126352808 + ... + 126458913.

It is an arithmetic number, because the mean of its divisors is an integer number (573376985496).

Almost surely, 213412420234213 is an apocalyptic number.

13412420234213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13412420234213 is a deficient number, since it is larger than the sum of its proper divisors (4935643301659).

13412420234213 is a wasteful number, since it uses less digits than its factorization.

13412420234213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252811805.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13412420234213 its reverse (31243202421431), we get a palindrome (44655622655644).

The spelling of 13412420234213 in words is "thirteen trillion, four hundred twelve billion, four hundred twenty million, two hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 7 11 13 53 77 91 143 371 583 689 1001 4081 4823 7579 53053 252811721 1769682047 2780928931 3286552373 13399021213 19466502517 23005866611 36152076103 93793148491 147389233343 174187275769 253064532721 1031724633401 1219310930383 1916060033459 13412420234213