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211112032193 is a prime number
BaseRepresentation
bin1100010010011101000…
…0011111011111000001
3202011220202112102000022
43010213100133133001
511424324140012233
6240552235303225
721152360444216
oct3044720373701
9664822472008
10211112032193
1181594269487
1234ab8baab15
1316ba5510b5a
14a309bd5b0d
155758c93398
hex312741f7c1

211112032193 has 2 divisors, whose sum is σ = 211112032194. Its totient is φ = 211112032192.

The previous prime is 211112032169. The next prime is 211112032211. The reversal of 211112032193 is 391230211112.

211112032193 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., 182629731904 + 28482300289 = 427352^2 + 168767^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112032193 - 26 = 211112032129 is a prime.

It is not a weakly prime, because it can be changed into another prime (211112032793) 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, 105556016096 + 105556016097.

It is an arithmetic number, because the mean of its divisors is an integer number (105556016097).

Almost surely, 2211112032193 is an apocalyptic number.

It is an amenable number.

211112032193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112032193 is an equidigital number, since it uses as much as digits as its factorization.

211112032193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 211112032193 in words is "two hundred eleven billion, one hundred twelve million, thirty-two thousand, one hundred ninety-three".