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200202221997829 is a prime number
BaseRepresentation
bin101101100001010100110110…
…010100110100111100000101
3222020212010221001222221001201
4231201110312110310330011
5202220103122312412304
61545443344152422501
760112063460040352
oct5541246624647405
9866763831887051
10200202221997829
1158877316069397
121a5546470a7a31
138792cb0a4226c
143761ba6c6b629
151822abc6283a4
hexb61536534f05

200202221997829 has 2 divisors, whose sum is σ = 200202221997830. Its totient is φ = 200202221997828.

The previous prime is 200202221997793. The next prime is 200202221997853. The reversal of 200202221997829 is 928799122202002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105767032176100 + 94435189821729 = 10284310^2 + 9717777^2 .

It is a cyclic number.

It is not a de Polignac number, because 200202221997829 - 211 = 200202221995781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200202221997829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200202221967829) 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, 100101110998914 + 100101110998915.

It is an arithmetic number, because the mean of its divisors is an integer number (100101110998915).

Almost surely, 2200202221997829 is an apocalyptic number.

It is an amenable number.

200202221997829 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202221997829 is an equidigital number, since it uses as much as digits as its factorization.

200202221997829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 200202221997829 in words is "two hundred trillion, two hundred two billion, two hundred twenty-one million, nine hundred ninety-seven thousand, eight hundred twenty-nine".