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210012132000113 is a prime number
BaseRepresentation
bin101111110000000101000010…
…100001101100000101110001
31000112120222000120100202212022
4233300011002201230011301
5210011314321243000423
62022354124101241225
762143606260166622
oct5760050241540561
91015528016322768
10210012132000113
1160a09710566643
121b679912103215
13902509ca17ba1
1439c08da0d1a49
151942d6e128dc8
hexbf014286c171

210012132000113 has 2 divisors, whose sum is σ = 210012132000114. Its totient is φ = 210012132000112.

The previous prime is 210012132000091. The next prime is 210012132000131. The reversal of 210012132000113 is 311000231210012.

Together with next prime (210012132000131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154772335207009 + 55239796793104 = 12440753^2 + 7432348^2 .

It is a cyclic number.

It is not a de Polignac number, because 210012132000113 - 214 = 210012131983729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210012132000091 and 210012132000100.

It is not a weakly prime, because it can be changed into another prime (210012132000413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105006066000056 + 105006066000057.

It is an arithmetic number, because the mean of its divisors is an integer number (105006066000057).

Almost surely, 2210012132000113 is an apocalyptic number.

It is an amenable number.

210012132000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210012132000113 is an equidigital number, since it uses as much as digits as its factorization.

210012132000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 210012132000113 its reverse (311000231210012), we get a palindrome (521012363210125).

The spelling of 210012132000113 in words is "two hundred ten trillion, twelve billion, one hundred thirty-two million, one hundred thirteen", and thus it is an aban number.