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12200012131 is a prime number
BaseRepresentation
bin10110101110010110…
…10110100101100011
31011111020110211102011
423113023112211203
5144441200342011
65334332333351
7611220251326
oct132713264543
934436424364
1012200012131
1151a065275a
122445914257
1311c57244b8
1483a4047bd
154b60cd621
hex2d72d6963

12200012131 has 2 divisors, whose sum is σ = 12200012132. Its totient is φ = 12200012130.

The previous prime is 12200012129. The next prime is 12200012171. The reversal of 12200012131 is 13121000221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12200012131 - 21 = 12200012129 is a prime.

It is a super-2 number, since 2×122000121312 (a number of 21 digits) contains 22 as substring.

Together with 12200012129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12200012171) 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 as a sum of consecutive naturals, namely, 6100006065 + 6100006066.

It is an arithmetic number, because the mean of its divisors is an integer number (6100006066).

Almost surely, 212200012131 is an apocalyptic number.

12200012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200012131 is an equidigital number, since it uses as much as digits as its factorization.

12200012131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12200012131 its reverse (13121000221), we get a palindrome (25321012352).

The spelling of 12200012131 in words is "twelve billion, two hundred million, twelve thousand, one hundred thirty-one".