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212221221000102 = 23353264372804833
BaseRepresentation
bin110000010000001110011010…
…011111011101001110100110
31000211102011001210001100101000
4300100032122133131032212
5210304013030034000402
62031205025533214130
762462322456652146
oct6020163237351646
91024364053040330
10212221221000102
1161690572727866
121b975a89631346
1391554b5610412
143a597c1c04926
151980563487c1c
hexc1039a7dd3a6

212221221000102 has 64 divisors (see below), whose sum is σ = 480519224372160. Its totient is φ = 69403032271872.

The previous prime is 212221221000097. The next prime is 212221221000137. The reversal of 212221221000102 is 201000122122212.

It is a happy number.

212221221000102 is a `hidden beast` number, since 212 + 221 + 221 + 0 + 0 + 0 + 10 + 2 = 666.

212221221000102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74260278 + ... + 77065110.

It is an arithmetic number, because the mean of its divisors is an integer number (7508112880815).

Almost surely, 2212221221000102 is an apocalyptic number.

212221221000102 is an abundant number, since it is smaller than the sum of its proper divisors (268298003372058).

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

212221221000102 is a wasteful number, since it uses less digits than its factorization.

212221221000102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831334 (or 2831328 counting only the distinct ones).

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

Adding to 212221221000102 its reverse (201000122122212), we get a palindrome (413221343122314).

The spelling of 212221221000102 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 26437 52874 79311 158622 237933 475866 713799 1401161 1427598 2802322 2804833 4203483 5609666 8406966 8414499 12610449 16828998 25220898 25243497 37831347 50486994 75662694 75730491 148656149 151460982 297312298 445968447 891936894 1337905341 2675810682 4013716023 8027432046 74151370021 148302740042 222454110063 444908220126 667362330189 1334724660378 2002086990567 3930022611113 4004173981134 7860045222226 11790067833339 23580135666678 35370203500017 70740407000034 106110610500051 212221221000102