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212341122400344 = 23371263935252383
BaseRepresentation
bin110000010001111110000101…
…001011000000000001011000
31000211211121112220200120102120
4300101332011023000001120
5210312444104313302334
62031340055344301240
762504065651023540
oct6021760513000130
91024747486616376
10212341122400344
1161727400967483
121b995170311820
1391638b3254422
143a61518002320
15198372e963949
hexc11f852c0058

212341122400344 has 32 divisors (see below), whose sum is σ = 606688921144320. Its totient is φ = 60668892114336.

The previous prime is 212341122400339. The next prime is 212341122400361. The reversal of 212341122400344 is 443004221143212.

It is a super-2 number, since 2×2123411224003442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631967626024 + ... + 631967626359.

It is an arithmetic number, because the mean of its divisors is an integer number (18959028785760).

Almost surely, 2212341122400344 is an apocalyptic number.

212341122400344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212341122400344 is an abundant number, since it is smaller than the sum of its proper divisors (394347798743976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212341122400344 is a wasteful number, since it uses less digits than its factorization.

212341122400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263935252399 (or 1263935252395 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 212341122400344 its reverse (443004221143212), we get a palindrome (655345343543556).

The spelling of 212341122400344 in words is "two hundred twelve trillion, three hundred forty-one billion, one hundred twenty-two million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1263935252383 2527870504766 3791805757149 5055741009532 7583611514298 8847546766681 10111482019064 15167223028596 17695093533362 26542640300043 30334446057192 35390187066724 53085280600086 70780374133448 106170561200172 212341122400344