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211312110689 is a prime number
BaseRepresentation
bin1100010011001100101…
…1101110110001100001
3202012102201000110002222
43010303023232301201
511430231400020224
6241024143520425
721160340206361
oct3046313566141
9665381013088
10211312110689
11816871a5409
1234b53bb9115
1316c07ac4ab4
14a3285d89a1
15576b615b5e
hex31332eec61

211312110689 has 2 divisors, whose sum is σ = 211312110690. Its totient is φ = 211312110688.

The previous prime is 211312110677. The next prime is 211312110707. The reversal of 211312110689 is 986011213112.

It is a happy number.

211312110689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209794229089 + 1517881600 = 458033^2 + 38960^2 .

It is a cyclic number.

It is not a de Polignac number, because 211312110689 - 232 = 207017143393 is a prime.

It is not a weakly prime, because it can be changed into another prime (211312110619) 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, 105656055344 + 105656055345.

It is an arithmetic number, because the mean of its divisors is an integer number (105656055345).

Almost surely, 2211312110689 is an apocalyptic number.

It is an amenable number.

211312110689 is a deficient number, since it is larger than the sum of its proper divisors (1).

211312110689 is an equidigital number, since it uses as much as digits as its factorization.

211312110689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 211312110689 in words is "two hundred eleven billion, three hundred twelve million, one hundred ten thousand, six hundred eighty-nine".