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202142213041 is a prime number
BaseRepresentation
bin1011110001000010011…
…1010110001110110001
3201022202122020101100011
42330100213112032301
511302441401304131
6232510213054521
720414162314036
oct2742047261661
9638678211304
10202142213041
11788010115aa
1233215027441
13160a6099c62
149ad87d938d
1553d15790b1
hex2f109d63b1

202142213041 has 2 divisors, whose sum is σ = 202142213042. Its totient is φ = 202142213040.

The previous prime is 202142213011. The next prime is 202142213051. The reversal of 202142213041 is 140312241202.

202142213041 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., 194269377600 + 7872835441 = 440760^2 + 88729^2 .

It is a cyclic number.

It is not a de Polignac number, because 202142213041 - 27 = 202142212913 is a prime.

It is a super-2 number, since 2×2021422130412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202142213011) 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, 101071106520 + 101071106521.

It is an arithmetic number, because the mean of its divisors is an integer number (101071106521).

Almost surely, 2202142213041 is an apocalyptic number.

It is an amenable number.

202142213041 is a deficient number, since it is larger than the sum of its proper divisors (1).

202142213041 is an equidigital number, since it uses as much as digits as its factorization.

202142213041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 202142213041 its reverse (140312241202), we get a palindrome (342454454243).

The spelling of 202142213041 in words is "two hundred two billion, one hundred forty-two million, two hundred thirteen thousand, forty-one".