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212112013212 = 2232112359394721
BaseRepresentation
bin1100010110001011011…
…1000111011110011100
3202021111110011201002100
43011202313013132130
511433401133410322
6241235400325100
721216222235611
oct3054267073634
9667443151070
10212112013212
1181a57779a80
1235137a73790
13170047424b8
14a3a293a508
1557b696ddac
hex3162dc779c

212112013212 has 144 divisors (see below), whose sum is σ = 620692450560. Its totient is φ = 60439526400.

The previous prime is 212112013147. The next prime is 212112013213. The reversal of 212112013212 is 212310211212.

It is a super-2 number, since 2×2121120132122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112013213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340012 + ... + 734732.

It is an arithmetic number, because the mean of its divisors is an integer number (4310364240).

Almost surely, 2212112013212 is an apocalyptic number.

212112013212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310346225280).

212112013212 is an abundant number, since it is smaller than the sum of its proper divisors (408580437348).

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

212112013212 is a wasteful number, since it uses less digits than its factorization.

212112013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394824 (or 394819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212112013212 its reverse (212310211212), we get a palindrome (424422224424).

The spelling of 212112013212 in words is "two hundred twelve billion, one hundred twelve million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 59 66 69 92 99 118 132 138 177 198 207 236 253 276 354 396 414 506 531 649 708 759 828 1012 1062 1298 1357 1518 1947 2124 2277 2596 2714 3036 3894 4071 4554 5428 5841 7788 8142 9108 11682 12213 14927 16284 23364 24426 29854 44781 48852 59708 89562 134343 179124 268686 394721 537372 789442 1184163 1578884 2368326 3552489 4341931 4736652 7104978 8683862 9078583 13025793 14209956 17367724 18157166 23288539 26051586 27235749 36314332 39077379 46577078 52103172 54471498 69865617 78154758 81707247 93154156 99864413 108942996 139731234 156309516 163414494 199728826 209596851 256173929 279462468 299593239 326828988 399457652 419193702 512347858 535636397 599186478 768521787 838387404 898779717 1024695716 1071272794 1198372956 1537043574 1606909191 1797559434 2142545588 2305565361 3074087148 3213818382 3595118868 4611130722 4820727573 5892000367 6427636764 9222261444 9641455146 11784000734 17676001101 19282910292 23568001468 35352002202 53028003303 70704004404 106056006606 212112013212