Search a number
-
+
221022210020121 = 3337350355737829
BaseRepresentation
bin110010010000010010111110…
…010100001101001100011001
31001222120111221211120220122000
4302100102332110031030121
5212432211441231120441
62102024111311551213
764361220256213626
oct6220227624151431
91058514854526560
10221022210020121
1164473aa1579104
1220957702b2b509
1396433c7045493
143c81763cd934d
151a844654532b6
hexc904be50d319

221022210020121 has 64 divisors (see below), whose sum is σ = 329071943692800. Its totient is φ = 146615905481472.

The previous prime is 221022210020099. The next prime is 221022210020123. The reversal of 221022210020121 is 121020012220122.

It is a happy number.

221022210020121 is a `hidden beast` number, since 2 + 210 + 22 + 210 + 0 + 201 + 21 = 666.

It is not a de Polignac number, because 221022210020121 - 25 = 221022210020089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221022210020094 and 221022210020103.

It is not an unprimeable number, because it can be changed into a prime (221022210020123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28231214635 + ... + 28231222463.

It is an arithmetic number, because the mean of its divisors is an integer number (5141749120200).

Almost surely, 2221022210020121 is an apocalyptic number.

It is an amenable number.

221022210020121 is a deficient number, since it is larger than the sum of its proper divisors (108049733672679).

221022210020121 is a wasteful number, since it uses less digits than its factorization.

221022210020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14281 counting only the distinct ones).

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

Adding to 221022210020121 its reverse (121020012220122), we get a palindrome (342042222240243).

The spelling of 221022210020121 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred ten million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 373 503 1119 1509 3357 4527 5573 7829 10071 13581 16719 23487 50157 70461 150471 187619 211383 562857 1688571 2078729 2803219 2920217 3937987 5065713 6236187 8409657 8760651 11813961 18708561 25228971 26281953 35441883 43631017 56125683 75686913 78845859 106325649 130893051 392679153 1045600687 1178037459 1468869151 3136802061 4406607453 9410406183 13219822359 16274369341 21946401551 28231218549 39659467077 48823108023 65839204653 146469324069 197517613959 439407972207 592552841877 8186007778523 24558023335569 73674070006707 221022210020121