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13214133141231 = 311236473998069
BaseRepresentation
bin1100000001001010011110…
…1101100011111011101111
31201210020222122210011210010
43000102213231203323233
53213000021041004411
644034253340544303
72532455352306651
oct300224755437357
951706878704703
1013214133141231
11423509a737100
121594ba2552093
1374b11a061949
143397d315a6d1
1517dae378d7a6
hexc04a7b63eef

13214133141231 has 24 divisors (see below), whose sum is σ = 19366717955760. Its totient is φ = 8008337941120.

The previous prime is 13214133141229. The next prime is 13214133141257.

It is a happy number.

13214133141231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13214133141231 - 21 = 13214133141229 is a prime.

It is a super-2 number, since 2×132141331412312 (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 (13214133141281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12740665 + ... + 13738733.

It is an arithmetic number, because the mean of its divisors is an integer number (806946581490).

Almost surely, 213214133141231 is an apocalyptic number.

13214133141231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13214133141231 is a deficient number, since it is larger than the sum of its proper divisors (6152584814529).

13214133141231 is a wasteful number, since it uses less digits than its factorization.

13214133141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034567 (or 1034556 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1321413 and 3141231, that added together give a palindrome (4462644).

The spelling of 13214133141231 in words is "thirteen trillion, two hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 121 363 36473 109419 401203 998069 1203609 2994207 4413233 10978759 13239699 32936277 120766349 362299047 36402570637 109207711911 400428277007 1201284831021 4404711047077 13214133141231