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211210097981 is a prime number
BaseRepresentation
bin1100010010110100011…
…0100101010100111101
3202012011121001122222112
43010231012211110331
511430024241113411
6241010101223405
721154661132261
oct3045506452475
9665147048875
10211210097981
1181634659793
1234b25a01b65
1316bbc92814c
14a318c420a1
1557626b4b8b
hex312d1a553d

211210097981 has 2 divisors, whose sum is σ = 211210097982. Its totient is φ = 211210097980.

The previous prime is 211210097933. The next prime is 211210098019. The reversal of 211210097981 is 189790012112.

211210097981 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., 144602230756 + 66607867225 = 380266^2 + 258085^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210097981 - 226 = 211142989117 is a prime.

It is a super-2 number, since 2×2112100979812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211210897981) 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, 105605048990 + 105605048991.

It is an arithmetic number, because the mean of its divisors is an integer number (105605048991).

Almost surely, 2211210097981 is an apocalyptic number.

It is an amenable number.

211210097981 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210097981 is an equidigital number, since it uses as much as digits as its factorization.

211210097981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 211210097981 in words is "two hundred eleven billion, two hundred ten million, ninety-seven thousand, nine hundred eighty-one".