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2201331012029 is a prime number
BaseRepresentation
bin100000000010001001100…
…011011001000110111101
321210110000112122221201022
4200002021203121012331
5242031311214341104
64403135535153525
7315020014604432
oct40021143310675
97713015587638
102201331012029
11779640a71026
122b67713758a5
1312c77a559016
147878b645b89
153c3dd21abbe
hex200898d91bd

2201331012029 has 2 divisors, whose sum is σ = 2201331012030. Its totient is φ = 2201331012028.

The previous prime is 2201331012007. The next prime is 2201331012043. The reversal of 2201331012029 is 9202101331022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1715570800804 + 485760211225 = 1309798^2 + 696965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201331012029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201331011989 and 2201331012007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201331002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100665506014 + 1100665506015.

It is an arithmetic number, because the mean of its divisors is an integer number (1100665506015).

Almost surely, 22201331012029 is an apocalyptic number.

It is an amenable number.

2201331012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201331012029 is an equidigital number, since it uses as much as digits as its factorization.

2201331012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 2201331012029 in words is "two trillion, two hundred one billion, three hundred thirty-one million, twelve thousand, twenty-nine".