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131413442324203 = 131747115310972873
BaseRepresentation
bin11101111000010100010011…
…100011000110011011101011
3122020022000001202002220110001
4131320110103203012123223
5114211034212213333303
61143254300232203431
736452210415216214
oct3570242343063353
9566260052086401
10131413442324203
1138966145283666
12128a497bb39577
1358433080a0a40
142464631b9440b
15102d5728ce31d
hex7785138c66eb

131413442324203 has 32 divisors (see below), whose sum is σ = 153167978025216. Its totient is φ = 111643091140608.

The previous prime is 131413442324173. The next prime is 131413442324209. The reversal of 131413442324203 is 302423244314131.

It is a cyclic number.

It is not a de Polignac number, because 131413442324203 - 233 = 131404852389611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413442324209) 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, 6489775 + ... + 17462647.

It is an arithmetic number, because the mean of its divisors is an integer number (4786499313288).

Almost surely, 2131413442324203 is an apocalyptic number.

131413442324203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131413442324203 is a deficient number, since it is larger than the sum of its proper divisors (21754535701013).

131413442324203 is a wasteful number, since it uses less digits than its factorization.

131413442324203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974103.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 131413442324203 its reverse (302423244314131), we get a palindrome (433836686638334).

The spelling of 131413442324203 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred forty-two million, three hundred twenty-four thousand, two hundred three".

Divisors: 1 13 17 47 221 611 799 1153 10387 14989 19601 54191 254813 704483 921247 10972873 11976211 142647349 186538841 515725031 2425004933 6704425403 8767325527 12651722569 113975231851 164472393397 215079283673 594630960743 2796030687749 7730202489659 10108726332631 131413442324203