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12200002000993 = 171935696534937
BaseRepresentation
bin1011000110001000100011…
…0010010001100001100001
31121012022100010010110010201
42301202020302101201201
53044341101003012433
641540334211025201
72366264264662222
oct261421062214141
947168303113121
1012200002000993
113983aa0092414
121450537b9b201
136a65bc25c781
143026aa061249
1516253b63ca7d
hexb1888c91861

12200002000993 has 16 divisors (see below), whose sum is σ = 13007401992720. Its totient is φ = 11402783686656.

The previous prime is 12200002000943. The next prime is 12200002001021. The reversal of 12200002000993 is 39900020000221.

It can be written as a sum of positive squares in 8 ways, for example, as 183712532689 + 12016289468304 = 428617^2 + 3466452^2 .

It is not a de Polignac number, because 12200002000993 - 29 = 12200002000481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200002000943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400580 + ... + 5134357.

It is an arithmetic number, because the mean of its divisors is an integer number (812962624545).

Almost surely, 212200002000993 is an apocalyptic number.

It is an amenable number.

12200002000993 is a deficient number, since it is larger than the sum of its proper divisors (807399991727).

12200002000993 is a wasteful number, since it uses less digits than its factorization.

12200002000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535716.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 12200002000993 in words is "twelve trillion, two hundred billion, two million, nine hundred ninety-three", and thus it is an aban number.

Divisors: 1 17 193 569 3281 9673 109817 1866889 6534937 111093929 1261242841 3718379153 21441128297 63212445601 717647176529 12200002000993