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212111105 = 5337312577
BaseRepresentation
bin11001010010010…
…00111100000001
3112210010100201212
430221020330001
5413300023410
633014135505
75153625503
oct1451107401
9483110655
10212111105
11a9805238
125b051595
1334c37a3b
1420255d73
151394cb05
hexca48f01

212111105 has 8 divisors (see below), whose sum is σ = 254629032. Its totient is φ = 169625088.

The previous prime is 212111101. The next prime is 212111111. The reversal of 212111105 is 501111212.

It can be written as a sum of positive squares in 4 ways, for example, as 132687361 + 79423744 = 11519^2 + 8912^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212111105 - 22 = 212111101 is a prime.

It is a super-2 number, since 2×2121111052 = 89982241728642050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212111105.

It is not an unprimeable number, because it can be changed into a prime (212111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10577 + ... + 23153.

It is an arithmetic number, because the mean of its divisors is an integer number (31828629).

Almost surely, 2212111105 is an apocalyptic number.

It is an amenable number.

212111105 is a deficient number, since it is larger than the sum of its proper divisors (42517927).

212111105 is a wasteful number, since it uses less digits than its factorization.

212111105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15955.

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 212111105 is about 14564.0346401675. The cubic root of 212111105 is about 596.3773425724.

Adding to 212111105 its reverse (501111212), we get a palindrome (713222317).

The spelling of 212111105 in words is "two hundred twelve million, one hundred eleven thousand, one hundred five".

Divisors: 1 5 3373 12577 16865 62885 42422221 212111105