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12131302200001 = 67724517730889
BaseRepresentation
bin1011000010001000100111…
…1101010101001011000001
31120221202000022022221222221
42300202021331111023001
53042224401330400001
641445013203531041
72361312656212225
oct260421175251301
946852008287887
1012131302200001
113957946914086
12143b164689a81
1369cc912bc85a
142dd22ddbc785
1516086a25b1a1
hexb0889f552c1

12131302200001 has 8 divisors (see below), whose sum is σ = 12149733571560. Its totient is φ = 12112872340608.

The previous prime is 12131302199953. The next prime is 12131302200013. The reversal of 12131302200001 is 10000220313121.

It can be written as a sum of positive squares in 4 ways, for example, as 2276474422401 + 9854827777600 = 1508799^2 + 3139240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12131302200001 - 223 = 12131293811393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131302200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16232565 + ... + 16963453.

It is an arithmetic number, because the mean of its divisors is an integer number (1518716696445).

Almost surely, 212131302200001 is an apocalyptic number.

It is an amenable number.

12131302200001 is a deficient number, since it is larger than the sum of its proper divisors (18431371559).

12131302200001 is an equidigital number, since it uses as much as digits as its factorization.

12131302200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756083.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12131302200001 its reverse (10000220313121), we get a palindrome (22131522513122).

The spelling of 12131302200001 in words is "twelve trillion, one hundred thirty-one billion, three hundred two million, two hundred thousand, one".

Divisors: 1 677 24517 730889 16598009 494811853 17919205613 12131302200001