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12210012199993 is a prime number
BaseRepresentation
bin1011000110101101110101…
…1100001001110000111001
31121020021011202002020122211
42301223131130021300321
53100022101110344433
641545111400215121
72400100325162656
oct261533534116071
947207152066584
1012210012199993
113988267633053
12145247046a4a1
136a75260ab24a
14302d796bac2d
151629253628cd
hexb1add709c39

12210012199993 has 2 divisors, whose sum is σ = 12210012199994. Its totient is φ = 12210012199992.

The previous prime is 12210012199909. The next prime is 12210012200053. The reversal of 12210012199993 is 39999121001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8763802378384 + 3446209821609 = 2960372^2 + 1856397^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210012199993 - 217 = 12210012068921 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210012199493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105006099996 + 6105006099997.

It is an arithmetic number, because the mean of its divisors is an integer number (6105006099997).

Almost surely, 212210012199993 is an apocalyptic number.

It is an amenable number.

12210012199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210012199993 is an equidigital number, since it uses as much as digits as its factorization.

12210012199993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 49.

The spelling of 12210012199993 in words is "twelve trillion, two hundred ten billion, twelve million, one hundred ninety-nine thousand, nine hundred ninety-three".