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212213032110 = 233523131260861
BaseRepresentation
bin1100010110100011100…
…0011110010010101110
3202021202111020222222000
43011220320132102232
511434103014011420
6241253405433130
721221560003422
oct3055070362256
9667674228860
10212213032110
1181aa97a6a72
123516586b7a6
131701c6519b1
14a3b2114b82
1557c0775690
hex3168e1e4ae

212213032110 has 128 divisors (see below), whose sum is σ = 595015787520. Its totient is φ = 53716291200.

The previous prime is 212213032103. The next prime is 212213032117. The reversal of 212213032110 is 11230312212.

212213032110 is a `hidden beast` number, since 212 + 2 + 130 + 321 + 1 + 0 = 666.

212213032110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212213032103) and next prime (212213032117).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212213032117) 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 63 ways as a sum of consecutive naturals, for example, 683080 + ... + 943940.

It is an arithmetic number, because the mean of its divisors is an integer number (4648560840).

Almost surely, 2212213032110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297507893760).

212213032110 is an abundant number, since it is smaller than the sum of its proper divisors (382802755410).

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

212213032110 is a wasteful number, since it uses less digits than its factorization.

212213032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261031 (or 261025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212213032110 its reverse (11230312212), we get a palindrome (223443344322).

The spelling of 212213032110 in words is "two hundred twelve billion, two hundred thirteen million, thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 131 135 138 207 230 262 270 345 393 414 621 655 690 786 1035 1179 1242 1310 1965 2070 2358 3013 3105 3537 3930 5895 6026 6210 7074 9039 11790 15065 17685 18078 27117 30130 35370 45195 54234 81351 90390 135585 162702 260861 271170 406755 521722 782583 813510 1304305 1565166 2347749 2608610 3912915 4695498 5999803 7043247 7825830 11738745 11999606 14086494 17999409 23477490 29999015 34172791 35216235 35998818 53998227 59998030 68345582 70432470 89997045 102518373 107996454 161994681 170863955 179994090 205036746 269991135 307555119 323989362 341727910 512591865 539982270 615110238 785974193 809973405 922665357 1025183730 1537775595 1571948386 1619946810 1845330714 2357922579 3075551190 3929870965 4613326785 4715845158 7073767737 7859741930 9226653570 11789612895 14147535474 21221303211 23579225790 35368838685 42442606422 70737677370 106106516055 212213032110