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211212132213289 is a prime number
BaseRepresentation
bin110000000001100010101000…
…000111001110001000101001
31000200211200102122110201021011
4300001202220013032020221
5210140444421321311124
62025113303010343521
762326400350541314
oct6001425007161051
91020750378421234
10211212132213289
1161331620388909
121b8323ab88aba1
1390b12ac37891c
143a22a1667397b
1519641a3d57994
hexc018a81ce229

211212132213289 has 2 divisors, whose sum is σ = 211212132213290. Its totient is φ = 211212132213288.

The previous prime is 211212132213113. The next prime is 211212132213293. The reversal of 211212132213289 is 982312231212112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210913898265625 + 298233947664 = 14522875^2 + 546108^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212132213289 - 29 = 211212132212777 is a prime.

It is a super-2 number, since 2×2112121322132892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211212132213689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606066106644 + 105606066106645.

It is an arithmetic number, because the mean of its divisors is an integer number (105606066106645).

Almost surely, 2211212132213289 is an apocalyptic number.

It is an amenable number.

211212132213289 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212132213289 is an equidigital number, since it uses as much as digits as its factorization.

211212132213289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 40.

The spelling of 211212132213289 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred eighty-nine".