Search a number
-
+
212211101012022 = 23271684215087397
BaseRepresentation
bin110000010000000100111111…
…010010110001000000110110
31000211101011221111111200112200
4300100010333102301000312
5210303331313324341042
62031200233422525330
762461513624325550
oct6020047722610066
91024334844450480
10212211101012022
116168724a209a52
121b973b24436846
139154561b015a8
143a59101b6a4d0
15198016ecc7c4c
hexc1013f4b1036

212211101012022 has 24 divisors (see below), whose sum is σ = 525475107268176. Its totient is φ = 60631743146256.

The previous prime is 212211101012003. The next prime is 212211101012033. The reversal of 212211101012022 is 220210101112212.

212211101012022 is a `hidden beast` number, since 212 + 211 + 101 + 0 + 120 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212211101011986 and 212211101012004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 842107543573 + ... + 842107543824.

It is an arithmetic number, because the mean of its divisors is an integer number (21894796136174).

Almost surely, 2212211101012022 is an apocalyptic number.

212211101012022 is an abundant number, since it is smaller than the sum of its proper divisors (313264006256154).

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

212211101012022 is a wasteful number, since it uses less digits than its factorization.

212211101012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684215087412 (or 1684215087409 counting only the distinct ones).

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

Adding to 212211101012022 its reverse (220210101112212), we get a palindrome (432421202124234).

The spelling of 212211101012022 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1684215087397 3368430174794 5052645262191 10105290524382 11789505611779 15157935786573 23579011223558 30315871573146 35368516835337 70737033670674 106105550506011 212211101012022