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13412222221431 = 3112398731694359
BaseRepresentation
bin1100001100101100011010…
…1111011011110001110111
31202111012021211100002010010
43003023012233123301313
53224221212342041211
644305253445231303
72553000240564135
oct303130657336167
952435254302103
1013412222221431
114301100873a40
121607466102533
137639c84c5b37
14345225530755
15183d390994a6
hexc32c6bdbc77

13412222221431 has 16 divisors (see below), whose sum is σ = 19508779710720. Its totient is φ = 8128580843520.

The previous prime is 13412222221429. The next prime is 13412222221477.

13412222221431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13412222221431 - 21 = 13412222221429 is a prime.

It is a super-2 number, since 2×134122222214312 (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 (13412222221331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7068630 + ... + 8762988.

It is an arithmetic number, because the mean of its divisors is an integer number (1219298731920).

Almost surely, 213412222221431 is an apocalyptic number.

13412222221431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13412222221431 is a deficient number, since it is larger than the sum of its proper divisors (6096557489289).

13412222221431 is a wasteful number, since it uses less digits than its factorization.

13412222221431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934246.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1341222 and 2221431, that added together give a palindrome (3562653).

The spelling of 13412222221431 in words is "thirteen trillion, four hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 11 33 239873 719619 1694359 2638603 5083077 7915809 18637949 55913847 406430976407 1219292929221 4470740740477 13412222221431