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211112331132121 is a prime number
BaseRepresentation
bin110000000000000101101011…
…100000010011110011011001
31000200111010211100010111100121
4300000011223200103303121
5210132331023232211441
62024555355511033241
762316235240415146
oct6000055340236331
91020433740114317
10211112331132121
11612a3267267441
121b816b9866b821
1390a4a65b35343
143a1bc69bd33cd
1519617b2311dd1
hexc0016b813cd9

211112331132121 has 2 divisors, whose sum is σ = 211112331132122. Its totient is φ = 211112331132120.

The previous prime is 211112331132113. The next prime is 211112331132161. The reversal of 211112331132121 is 121231133211112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210970831777225 + 141499354896 = 14524835^2 + 376164^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112331132121 - 23 = 211112331132113 is a prime.

It is not a weakly prime, because it can be changed into another prime (211112331132161) 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, 105556165566060 + 105556165566061.

It is an arithmetic number, because the mean of its divisors is an integer number (105556165566061).

Almost surely, 2211112331132121 is an apocalyptic number.

It is an amenable number.

211112331132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112331132121 is an equidigital number, since it uses as much as digits as its factorization.

211112331132121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 25.

Adding to 211112331132121 its reverse (121231133211112), we get a palindrome (332343464343233).

The spelling of 211112331132121 in words is "two hundred eleven trillion, one hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".