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202112211137 is a prime number
BaseRepresentation
bin1011110000111011010…
…0111001100011000001
3201022200112210010110112
42330032310321203001
511302411211224022
6232503222041105
720413346306654
oct2741664714301
9638615703415
10202112211137
117879608a741
1233206b79195
131609cac4155
149ad482989b
1553cdaee8e2
hex2f0ed398c1

202112211137 has 2 divisors, whose sum is σ = 202112211138. Its totient is φ = 202112211136.

The previous prime is 202112211073. The next prime is 202112211151. The reversal of 202112211137 is 731112211202.

It is a happy number.

202112211137 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., 107193379216 + 94918831921 = 327404^2 + 308089^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112211137 - 26 = 202112211073 is a prime.

It is not a weakly prime, because it can be changed into another prime (202112231137) 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, 101056105568 + 101056105569.

It is an arithmetic number, because the mean of its divisors is an integer number (101056105569).

Almost surely, 2202112211137 is an apocalyptic number.

It is an amenable number.

202112211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112211137 is an equidigital number, since it uses as much as digits as its factorization.

202112211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 202112211137 its reverse (731112211202), we get a palindrome (933224422339).

The spelling of 202112211137 in words is "two hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred thirty-seven".