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13214344341231 = 3211437879393977
BaseRepresentation
bin1100000001001011010001…
…0011001110011011101111
31201210021112101012020201100
43000102310103032123233
53213000434122404411
644034330323414143
72532463525422255
oct300226423163357
951707471166640
1013214344341231
114235198979860
121595041224353
1374b151a3aa67
143398132165d5
1517db070ab456
hexc04b44ce6ef

13214344341231 has 48 divisors (see below), whose sum is σ = 21309608136960. Its totient is φ = 7821432178560.

The previous prime is 13214344341217. The next prime is 13214344341241.

13214344341231 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 43 + 44 + 341 + 231 = 666.

13214344341231 is nontrivially palindromic in base 10.

13214344341231 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 13214344341231 - 26 = 13214344341167 is a prime.

It is a super-2 number, since 2×132143443412312 (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 (13214344341241) 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, 33343915 + ... + 33737891.

It is an arithmetic number, because the mean of its divisors is an integer number (443950169520).

Almost surely, 213214344341231 is an apocalyptic number.

13214344341231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13214344341231 is a deficient number, since it is larger than the sum of its proper divisors (8095263795729).

13214344341231 is a wasteful number, since it uses less digits than its factorization.

13214344341231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401916 (or 401913 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1321434 and 4341231, that added together give a palindrome (5662665).

The spelling of 13214344341231 in words is "thirteen trillion, two hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 7879 23637 70911 86669 260007 338797 393977 780021 1016391 1181931 3049173 3545793 3726767 4333747 11180301 13001241 16941011 33540903 39003723 50823033 152469099 186351121 559053363 1677160089 3104144783 9312434349 27937303047 34145592613 102436777839 133478225669 307310333517 400434677007 1201304031021 1468260482359 4404781447077 13214344341231