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212111257 is a prime number
BaseRepresentation
bin11001010010010…
…00111110011001
3112210010100221111
430221020332121
5413300030012
633014140321
75153626111
oct1451107631
9483110844
10212111257
11a9805366
125b0516a1
1334c37b27
1420256041
151394cba7
hexca48f99

212111257 has 2 divisors, whose sum is σ = 212111258. Its totient is φ = 212111256.

The previous prime is 212111243. The next prime is 212111309. The reversal of 212111257 is 752111212.

212111257 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., 117418896 + 94692361 = 10836^2 + 9731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212111257 is a prime.

It is a super-2 number, since 2×2121112572 = 89982370692240098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212111857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055628 + 106055629.

It is an arithmetic number, because the mean of its divisors is an integer number (106055629).

Almost surely, 2212111257 is an apocalyptic number.

It is an amenable number.

212111257 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111257 is an equidigital number, since it uses as much as digits as its factorization.

212111257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 22.

The square root of 212111257 is about 14564.0398585008. The cubic root of 212111257 is about 596.3774850281.

Adding to 212111257 its reverse (752111212), we get a palindrome (964222469).

The spelling of 212111257 in words is "two hundred twelve million, one hundred eleven thousand, two hundred fifty-seven".