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212212102000 = 2453195584529
BaseRepresentation
bin1100010110100011010…
…0111011001101110000
3202021202102111202002111
43011220310323031300
511434102244231000
6241253333455104
721221546050633
oct3055064731560
9667672452074
10212212102000
1181aa9221188
12351654a1494
131701c3b7532
14a3b1d51c1a
1557c063ecba
hex3168d3b370

212212102000 has 80 divisors (see below), whose sum is σ = 540135741600. Its totient is φ = 80417203200.

The previous prime is 212212101953. The next prime is 212212102001. The reversal of 212212102000 is 201212212.

It is a happy number.

212212102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212102001) 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 15 ways as a sum of consecutive naturals, for example, 2754265 + ... + 2830264.

It is an arithmetic number, because the mean of its divisors is an integer number (6751696770).

Almost surely, 2212212102000 is an apocalyptic number.

212212102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212102000 is an abundant number, since it is smaller than the sum of its proper divisors (327923639600).

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

212212102000 is a wasteful number, since it uses less digits than its factorization.

212212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584571 (or 5584555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212212102000 its reverse (201212212), we get a palindrome (212413314212).

The spelling of 212212102000 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 5584529 11169058 22338116 27922645 44676232 55845290 89352464 106106051 111690580 139613225 212212102 223381160 279226450 424424204 446762320 530530255 558452900 698066125 848848408 1061060510 1116905800 1396132250 1697696816 2122121020 2233811600 2652651275 2792264500 4244242040 5305302550 5584529000 8488484080 10610605100 11169058000 13263256375 21221210200 26526512750 42442420400 53053025500 106106051000 212212102000