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212111057 = 171091131013
BaseRepresentation
bin11001010010010…
…00111011010001
3112210010100200002
430221020323101
5413300023212
633014135345
75153625404
oct1451107321
9483110602
10212111057
11a98051a4
125b051555
1334c37a02
1420255d3b
151394cac2
hexca48ed1

212111057 has 16 divisors (see below), whose sum is σ = 228880080. Its totient is φ = 195858432.

The previous prime is 212111051. The next prime is 212111071. The reversal of 212111057 is 750111212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39740416 + 172370641 = 6304^2 + 13129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212111057 is a prime.

It is a super-2 number, since 2×2121110572 = 89982201003314498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208883 + ... + 209895.

It is an arithmetic number, because the mean of its divisors is an integer number (14305005).

Almost surely, 2212111057 is an apocalyptic number.

It is an amenable number.

212111057 is a deficient number, since it is larger than the sum of its proper divisors (16769023).

212111057 is a wasteful number, since it uses less digits than its factorization.

212111057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 212111057 is about 14564.0329922724. The cubic root of 212111057 is about 596.3772975863.

Adding to 212111057 its reverse (750111212), we get a palindrome (962222269).

The spelling of 212111057 in words is "two hundred twelve million, one hundred eleven thousand, fifty-seven".

Divisors: 1 17 109 113 1013 1853 1921 12317 17221 110417 114469 209389 1877089 1945973 12477121 212111057