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211231210081 is a prime number
BaseRepresentation
bin1100010010111001011…
…1000111101001100001
3202012020001210021100011
43010232113013221201
511430100142210311
6241012133524521
721155335442503
oct3045627075141
9665201707304
10211231210081
1181645569601
1234b30aa3741
1316bc410a808
14a31b979d73
155764485321
hex312e5c7a61

211231210081 has 2 divisors, whose sum is σ = 211231210082. Its totient is φ = 211231210080.

The previous prime is 211231210067. The next prime is 211231210097. The reversal of 211231210081 is 180012132112.

211231210081 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., 106151504481 + 105079705600 = 325809^2 + 324160^2 .

It is a cyclic number.

It is not a de Polignac number, because 211231210081 - 223 = 211222821473 is a prime.

It is a super-2 number, since 2×2112312100812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211231210681) 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, 105615605040 + 105615605041.

It is an arithmetic number, because the mean of its divisors is an integer number (105615605041).

Almost surely, 2211231210081 is an apocalyptic number.

It is an amenable number.

211231210081 is a deficient number, since it is larger than the sum of its proper divisors (1).

211231210081 is an equidigital number, since it uses as much as digits as its factorization.

211231210081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 211231210081 its reverse (180012132112), we get a palindrome (391243342193).

The spelling of 211231210081 in words is "two hundred eleven billion, two hundred thirty-one million, two hundred ten thousand, eighty-one".