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202142214193 is a prime number
BaseRepresentation
bin1011110001000010011…
…1010110100000110001
3201022202122020102220211
42330100213112200301
511302441401323233
6232510213104121
720414162320303
oct2742047264061
9638678212824
10202142214193
1178801012457
1233215028041
13160a609a63a
149ad87d9973
1553d15795cd
hex2f109d6831

202142214193 has 2 divisors, whose sum is σ = 202142214194. Its totient is φ = 202142214192.

The previous prime is 202142214167. The next prime is 202142214221. The reversal of 202142214193 is 391412241202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184205772864 + 17936441329 = 429192^2 + 133927^2 .

It is a cyclic number.

It is not a de Polignac number, because 202142214193 - 29 = 202142213681 is a prime.

It is a super-2 number, since 2×2021422141932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202142214103) 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, 101071107096 + 101071107097.

It is an arithmetic number, because the mean of its divisors is an integer number (101071107097).

Almost surely, 2202142214193 is an apocalyptic number.

It is an amenable number.

202142214193 is a deficient number, since it is larger than the sum of its proper divisors (1).

202142214193 is an equidigital number, since it uses as much as digits as its factorization.

202142214193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 202142214193 its reverse (391412241202), we get a palindrome (593554455395).

The spelling of 202142214193 in words is "two hundred two billion, one hundred forty-two million, two hundred fourteen thousand, one hundred ninety-three".