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2212020001993 is a prime number
BaseRepresentation
bin100000001100000110101…
…010101001110011001001
321211110121110212220101111
4200030012222221303021
5242220204110030433
64412104333250321
7315545626533454
oct40140652516311
97743543786344
102212020001993
1178312669542a
122b88550339a1
13130791bcc359
14790c30b849b
153c816823dcd
hex20306aa9cc9

2212020001993 has 2 divisors, whose sum is σ = 2212020001994. Its totient is φ = 2212020001992.

The previous prime is 2212020001991. The next prime is 2212020002051. The reversal of 2212020001993 is 3991000202122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1489676393529 + 722343608464 = 1220523^2 + 849908^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212020001993 - 21 = 2212020001991 is a prime.

It is a super-2 number, since 2×22120200019932 (a number of 25 digits) contains 22 as substring.

Together with 2212020001991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2212020001991) 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, 1106010000996 + 1106010000997.

It is an arithmetic number, because the mean of its divisors is an integer number (1106010000997).

Almost surely, 22212020001993 is an apocalyptic number.

It is an amenable number.

2212020001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212020001993 is an equidigital number, since it uses as much as digits as its factorization.

2212020001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 2212020001993 in words is "two trillion, two hundred twelve billion, twenty million, one thousand, nine hundred ninety-three".