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202198106681 is a prime number
BaseRepresentation
bin1011110001001111110…
…0100100001000111001
3201022220112102001222222
42330103330210020321
511303100203403211
6232515531053425
720415441356204
oct2742374441071
9638815361888
10202198106681
117882a61829a
123322b8a1275
13160b4839b0c
149b01dc893b
1553d641a1db
hex2f13f24239

202198106681 has 2 divisors, whose sum is σ = 202198106682. Its totient is φ = 202198106680.

The previous prime is 202198106653. The next prime is 202198106687. The reversal of 202198106681 is 186601891202.

202198106681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197211487225 + 4986619456 = 444085^2 + 70616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202198106681 is a prime.

It is a super-2 number, since 2×2021981066812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202198106687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101099053340 + 101099053341.

It is an arithmetic number, because the mean of its divisors is an integer number (101099053341).

Almost surely, 2202198106681 is an apocalyptic number.

It is an amenable number.

202198106681 is a deficient number, since it is larger than the sum of its proper divisors (1).

202198106681 is an equidigital number, since it uses as much as digits as its factorization.

202198106681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 44.

Adding to 202198106681 its reverse (186601891202), we get a palindrome (388799997883).

The spelling of 202198106681 in words is "two hundred two billion, one hundred ninety-eight million, one hundred six thousand, six hundred eighty-one".