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1221010202022 = 231326740144819
BaseRepresentation
bin10001110001001001111…
…000010001110110100110
311022201122022002221212220
4101301021320101312212
5130001112102431042
62332531354053210
7154133525321232
oct21611170216646
94281568087786
101221010202022
11430911477916
12178781a1a206
138b1aa362300
1443150a555c2
1521b644a08ec
hex11c49e11da6

1221010202022 has 96 divisors (see below), whose sum is σ = 2690538145920. Its totient is φ = 369156902400.

The previous prime is 1221010202011. The next prime is 1221010202051. The reversal of 1221010202022 is 2202020101221.

It is a junction number, because it is equal to n+sod(n) for n = 1221010201992 and 1221010202010.

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 47 ways as a sum of consecutive naturals, for example, 27220729 + ... + 27265547.

It is an arithmetic number, because the mean of its divisors is an integer number (28026439020).

Almost surely, 21221010202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221010202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345269072960).

1221010202022 is an abundant number, since it is smaller than the sum of its proper divisors (1469527943898).

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

1221010202022 is a wasteful number, since it uses less digits than its factorization.

1221010202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45318 (or 45305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221010202022 its reverse (2202020101221), we get a palindrome (3423030303243).

The spelling of 1221010202022 in words is "one trillion, two hundred twenty-one billion, ten million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 169 201 338 401 402 507 802 871 1014 1203 1742 2406 2613 5213 5226 10426 11323 15639 22646 26867 31278 33969 44819 53734 67769 67938 80601 89638 134457 135538 161202 203307 268914 349271 406614 582647 698542 1047813 1165294 1747941 2095626 3002873 3495882 4540523 6005746 7574411 9008619 9081046 13621569 15148822 17972419 18017238 22723233 27243138 35944838 39037349 45446466 53917257 78074698 107834514 117112047 233641447 234224094 467282894 507485537 700924341 1014971074 1204152073 1401848682 1522456611 2408304146 3037338811 3044913222 3612456219 6074677622 7224912438 9112016433 15653976949 18224032866 31307953898 46961930847 93923861694 203501700337 407003400674 610505101011 1221010202022