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12221020220101 = 7111949758310739
BaseRepresentation
bin1011000111010110110110…
…0100011010101011000101
31121021022120220121121102021
42301311231210122223011
53100212122134020401
641554131552243141
72400640162621030
oct261655544325305
947238526547367
1012221020220101
1139919a6349530
121454622b404b1
136a858b883204
14303701678017
15162d6b9882a1
hexb1d6d91aac5

12221020220101 has 32 divisors (see below), whose sum is σ = 15247844352000. Its totient is φ = 9515845510080.

The previous prime is 12221020220033. The next prime is 12221020220113. The reversal of 12221020220101 is 10102202012221.

It is a happy number.

It is not a de Polignac number, because 12221020220101 - 231 = 12218872736453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221020220161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1137998190 + ... + 1138008928.

It is an arithmetic number, because the mean of its divisors is an integer number (476495136000).

Almost surely, 212221020220101 is an apocalyptic number.

12221020220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221020220101 is a deficient number, since it is larger than the sum of its proper divisors (3026824131899).

12221020220101 is a wasteful number, since it uses less digits than its factorization.

12221020220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20289.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221020220101 its reverse (10102202012221), we get a palindrome (22323222232322).

The spelling of 12221020220101 in words is "twelve trillion, two hundred twenty-one billion, twenty million, two hundred twenty thousand, one hundred one".

Divisors: 1 7 11 77 1949 7583 10739 13643 21439 53081 75173 83413 118129 150073 583891 826903 14779267 20930311 81433837 103454869 146512177 162571937 230233421 570036859 895772207 1138003559 1611633947 6270405449 158714548313 1111001838191 1745860031443 12221020220101