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200123342221993 is a prime number
BaseRepresentation
bin101101100000001011011000…
…101110010111001010101001
3222020120121022210210010201121
4231200023120232113022221
5202212310101102100433
61545343221053215241
760103301660023411
oct5540133056271251
9866517283703647
10200123342221993
1158846918530303
121a5412b2491521
13878871ca1c5a8
14375c042bb7641
151820a02687c2d
hexb602d8b972a9

200123342221993 has 2 divisors, whose sum is σ = 200123342221994. Its totient is φ = 200123342221992.

The previous prime is 200123342221967. The next prime is 200123342222071. The reversal of 200123342221993 is 399122243321002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111227333394969 + 88896008827024 = 10546437^2 + 9428468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200123342221993 is a prime.

It is not a weakly prime, because it can be changed into another prime (200123342221903) 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, 100061671110996 + 100061671110997.

It is an arithmetic number, because the mean of its divisors is an integer number (100061671110997).

Almost surely, 2200123342221993 is an apocalyptic number.

It is an amenable number.

200123342221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

200123342221993 is an equidigital number, since it uses as much as digits as its factorization.

200123342221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 43.

Adding to 200123342221993 its reverse (399122243321002), we get a palindrome (599245585542995).

The spelling of 200123342221993 in words is "two hundred trillion, one hundred twenty-three billion, three hundred forty-two million, two hundred twenty-one thousand, nine hundred ninety-three".