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202200200113 is a prime number
BaseRepresentation
bin1011110001010000010…
…0100011001110110001
3201022220200100102122111
42330110010203032301
511303101222400423
6232520044005321
720415465225412
oct2742404431661
9638820312574
10202200200113
11788308180aa
1233230530841
13160b50c0932
149b023b1809
1553d66d060d
hex2f141233b1

202200200113 has 2 divisors, whose sum is σ = 202200200114. Its totient is φ = 202200200112.

The previous prime is 202200200093. The next prime is 202200200197. The reversal of 202200200113 is 311002002202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199507835569 + 2692364544 = 446663^2 + 51888^2 .

It is a cyclic number.

It is not a de Polignac number, because 202200200113 - 29 = 202200199601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202200200093 and 202200200102.

It is not a weakly prime, because it can be changed into another prime (202200200513) 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, 101100100056 + 101100100057.

It is an arithmetic number, because the mean of its divisors is an integer number (101100100057).

Almost surely, 2202200200113 is an apocalyptic number.

It is an amenable number.

202200200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202200200113 is an equidigital number, since it uses as much as digits as its factorization.

202200200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 202200200113 its reverse (311002002202), we get a palindrome (513202202315).

The spelling of 202200200113 in words is "two hundred two billion, two hundred million, two hundred thousand, one hundred thirteen".