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212141212 = 22731375303
BaseRepresentation
bin11001010010100…
…00010010011100
3112210011220000221
430221100102130
5413302004322
633014531124
75154112333
oct1451202234
9483156027
10212141212
11a9825918
125b066aa4
1334c4865a
1420262d1a
15139569c7
hexca5049c

212141212 has 24 divisors (see below), whose sum is σ = 379151136. Its totient is φ = 103834368.

The previous prime is 212141207. The next prime is 212141219.

212141212 is nontrivially palindromic in base 10.

212141212 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

212141212 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212141219) 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, 37353 + ... + 42655.

It is an arithmetic number, because the mean of its divisors is an integer number (15797964).

Almost surely, 2212141212 is an apocalyptic number.

It is an amenable number.

212141212 is a deficient number, since it is larger than the sum of its proper divisors (167009924).

212141212 is a wasteful number, since it uses less digits than its factorization.

212141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5515 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 212141212 is about 14565.0682113061. The cubic root of 212141212 is about 596.4055577904.

The spelling of 212141212 in words is "two hundred twelve million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 4 73 137 146 274 292 548 5303 10001 10606 20002 21212 40004 387119 726511 774238 1453022 1548476 2906044 53035303 106070606 212141212