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22012102221221 = 7412711414320011
BaseRepresentation
bin1010000000101000101111…
…00010001001110110100101
32212221100002020202220010102
411000110113202021312211
510341121241132034341
6114452115315433445
74431215261506520
oct500242742116645
985840066686112
1022012102221221
117017309938842
1225761145b5885
13c38969c20448
1456156a137bb7
152828ba576c9b
hex140517889da5

22012102221221 has 32 divisors (see below), whose sum is σ = 25868480741376. Its totient is φ = 18337196016000.

The previous prime is 22012102221163. The next prime is 22012102221247. The reversal of 22012102221221 is 12212220121022.

It is a cyclic number.

It is not a de Polignac number, because 22012102221221 - 226 = 22012035112357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22012102221193 and 22012102221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012102220221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1099990106 + ... + 1100010116.

It is an arithmetic number, because the mean of its divisors is an integer number (808390023168).

Almost surely, 222012102221221 is an apocalyptic number.

It is an amenable number.

22012102221221 is a deficient number, since it is larger than the sum of its proper divisors (3856378520155).

22012102221221 is a wasteful number, since it uses less digits than its factorization.

22012102221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34473.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22012102221221 its reverse (12212220121022), we get a palindrome (34224322342243).

The spelling of 22012102221221 in words is "twenty-two trillion, twelve billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 41 271 287 1897 11111 14143 20011 77777 99001 140077 579863 820451 3832753 4059041 5422981 5743157 26829271 37960867 157142873 222342221 283015573 1100000111 1556395547 1981109011 11603638493 76697220283 81225469451 536880541981 3144586031603 22012102221221