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212112001221102 = 236453173210307
BaseRepresentation
bin110000001110101000101100…
…011111000100000111101110
31000211000201011001202201000000
4300032220230133010013232
5210300220334303033402
62031042524054245130
762451405061106403
oct6016505437040756
91024021131681000
10212112001221102
1161649215a392a4
121b9588880567a6
1391480ca95c758
143a543c04bc2aa
15197c7beb0bc1c
hexc0ea2c7c41ee

212112001221102 has 56 divisors (see below), whose sum is σ = 477044455718376. Its totient is φ = 70702418174256.

The previous prime is 212112001221049. The next prime is 212112001221139. The reversal of 212112001221102 is 201122100211212.

212112001221102 is a `hidden beast` number, since 21 + 211 + 200 + 1 + 221 + 10 + 2 = 666.

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 27 ways as a sum of consecutive naturals, for example, 64467033 + ... + 67677339.

It is an arithmetic number, because the mean of its divisors is an integer number (8518650994971).

Almost surely, 2212112001221102 is an apocalyptic number.

212112001221102 is an abundant number, since it is smaller than the sum of its proper divisors (264932454497274).

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

212112001221102 is an equidigital number, since it uses as much as digits as its factorization.

212112001221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255644 (or 3255629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112001221102 its reverse (201122100211212), we get a palindrome (413234101432314).

The spelling of 212112001221102 in words is "two hundred twelve trillion, one hundred twelve billion, one million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 45317 90634 135951 271902 407853 815706 1223559 2447118 3210307 3670677 6420614 7341354 9630921 11012031 19261842 22024062 28892763 33036093 57785526 66072186 86678289 173356578 260034867 520069734 780104601 1560209202 2340313803 4680627606 145481482319 290962964638 436444446957 872888893914 1309333340871 2618666681742 3928000022613 7856000045226 11784000067839 23568000135678 35352000203517 70704000407034 106056000610551 212112001221102