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211200020212212 = 2232231244272049977
BaseRepresentation
bin110000000001010111010110…
…001011100110100111110100
31000200210112011112121022022200
4300001113112023212213310
5210140300120133242322
62025103541100224500
762325461246326653
oct6001272613464764
91020715145538280
10211200020212212
1161327475489169
121b82bb8b53b130
1390b00cbc5ac95
143a221c7c1d19a
151963be58618ac
hexc015d62e69f4

211200020212212 has 72 divisors (see below), whose sum is σ = 557083063083456. Its totient is φ = 67338562836864.

The previous prime is 211200020212193. The next prime is 211200020212229. The reversal of 211200020212212 is 212212020002112.

It is a happy number.

211200020212212 is a `hidden beast` number, since 21 + 1 + 200 + 0 + 20 + 212 + 212 = 666.

It is a super-3 number, since 3×2112000202122123 (a number of 44 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102000568 + ... + 104050544.

It is an arithmetic number, because the mean of its divisors is an integer number (7737264765048).

Almost surely, 2211200020212212 is an apocalyptic number.

It is an amenable number.

211200020212212 is an abundant number, since it is smaller than the sum of its proper divisors (345883042871244).

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

211200020212212 is a wasteful number, since it uses less digits than its factorization.

211200020212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174437 (or 2174432 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211200020212212 its reverse (212212020002112), we get a palindrome (423412040214324).

The spelling of 211200020212212 in words is "two hundred eleven trillion, two hundred billion, twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 124427 248854 373281 497708 746562 1119843 1493124 2049977 2239686 2861821 4099954 4479372 5723642 6149931 8199908 8585463 11447284 12299862 17170926 18449793 24599724 25756389 34341852 36899586 47149471 51512778 73799172 94298942 103025556 141448413 188597884 282896826 424345239 565793652 848690478 1697380956 255072488179 510144976358 765217464537 1020289952716 1530434929074 2295652393611 3060869858148 4591304787222 5866667228117 9182609574444 11733334456234 17600001684351 23466668912468 35200003368702 52800005053053 70400006737404 105600010106106 211200020212212