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212412335343 = 31319714037413
BaseRepresentation
bin1100010111010011000…
…0110000010011101111
3202022021101021122121020
43011310300300103233
511440010024212333
6241325245305223
721226530026415
oct3056460602357
9668241248536
10212412335343
11820a125348a
1235200565213
1317051a23ac0
14a3d07952b5
1557d2ee33b3
hex3174c304ef

212412335343 has 32 divisors (see below), whose sum is σ = 325577064960. Its totient is φ = 122091338880.

The previous prime is 212412335341. The next prime is 212412335351. The reversal of 212412335343 is 343533214212.

Adding to 212412335343 its reverse (343533214212), we get a palindrome (555945549555).

212412335343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212412335343 - 21 = 212412335341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412335341) 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 in 31 ways as a sum of consecutive naturals, for example, 1966096 + ... + 2071317.

It is an arithmetic number, because the mean of its divisors is an integer number (10174283280).

Almost surely, 2212412335343 is an apocalyptic number.

212412335343 is a deficient number, since it is larger than the sum of its proper divisors (113164729617).

212412335343 is a wasteful number, since it uses less digits than its factorization.

212412335343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037519.

The product of its digits is 51840, while the sum is 33.

The spelling of 212412335343 in words is "two hundred twelve billion, four hundred twelve million, three hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 13 19 39 57 71 213 247 741 923 1349 2769 4047 17537 52611 4037413 12112239 52486369 76710847 157459107 230132541 286656323 859968969 997241011 2991723033 3726532199 5446470137 11179596597 16339410411 70804111781 212412335343