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12210131123137 is a prime number
BaseRepresentation
bin1011000110101110010010…
…0001110011101111000001
31121020021111000212011112201
42301223210201303233001
53100022322031420022
641545131245153201
72400103301050453
oct261534441635701
947207430764481
1012210131123137
113988318779842
1214524a425b801
136a7544918c7c
14302d8b3d62d3
15162930a04127
hexb1ae4873bc1

12210131123137 has 2 divisors, whose sum is σ = 12210131123138. Its totient is φ = 12210131123136.

The previous prime is 12210131123101. The next prime is 12210131123143. The reversal of 12210131123137 is 73132113101221.

It is a happy number.

12210131123137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8145778354561 + 4064352768576 = 2854081^2 + 2016024^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210131123137 - 27 = 12210131123009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210131123167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105065561568 + 6105065561569.

It is an arithmetic number, because the mean of its divisors is an integer number (6105065561569).

Almost surely, 212210131123137 is an apocalyptic number.

It is an amenable number.

12210131123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210131123137 is an equidigital number, since it uses as much as digits as its factorization.

12210131123137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 12210131123137 its reverse (73132113101221), we get a palindrome (85342244224358).

The spelling of 12210131123137 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred thirty-seven".