Search a number
-
+
211212212000969 is a prime number
BaseRepresentation
bin110000000001100010101100…
…110111100101100011001001
31000200211200122012121100101102
4300001202230313211203021
5210141000102233012334
62025113314540431145
762326402336661414
oct6001425467454311
91020750565540342
10211212212000969
1161331661424543
121b8324125484b5
1390b12c2a6347a
143a22a230c2b7b
1519641aad6867e
hexc018acde58c9

211212212000969 has 2 divisors, whose sum is σ = 211212212000970. Its totient is φ = 211212212000968.

The previous prime is 211212212000897. The next prime is 211212212000981. The reversal of 211212212000969 is 969000212212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200294388451600 + 10917823549369 = 14152540^2 + 3304213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211212212000969 is a prime.

It is a super-2 number, since 2×2112122120009692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211212212000369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606106000484 + 105606106000485.

It is an arithmetic number, because the mean of its divisors is an integer number (105606106000485).

Almost surely, 2211212212000969 is an apocalyptic number.

It is an amenable number.

211212212000969 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212212000969 is an equidigital number, since it uses as much as digits as its factorization.

211212212000969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 211212212000969 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twelve million, nine hundred sixty-nine", and thus it is an aban number.