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221022211221 = 33719117152561
BaseRepresentation
bin1100110111010111110…
…0110100110010010101
3210010111102021122221000
43031311330310302111
512110123141224341
6245311453013513
721653064540360
oct3156574646225
9703442248830
10221022211221
118580a304689
1236a03a84299
1317ac470ca06
14a9aa0570d7
155b38d0c8b6
hex3375f34c95

221022211221 has 64 divisors (see below), whose sum is σ = 394257049600. Its totient is φ = 119546668800.

The previous prime is 221022211133. The next prime is 221022211237. The reversal of 221022211221 is 122112220122.

It is a happy number.

221022211221 is a `hidden beast` number, since 2 + 210 + 22 + 211 + 221 = 666.

It is not a de Polignac number, because 221022211221 - 27 = 221022211093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221022211194 and 221022211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022211271) 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, 4178781 + ... + 4231341.

It is an arithmetic number, because the mean of its divisors is an integer number (6160266400).

Almost surely, 2221022211221 is an apocalyptic number.

221022211221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221022211221 is a deficient number, since it is larger than the sum of its proper divisors (173234838379).

221022211221 is a wasteful number, since it uses less digits than its factorization.

221022211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53767 (or 53761 counting only the distinct ones).

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

Adding to 221022211221 its reverse (122112220122), we get a palindrome (343134431343).

The spelling of 221022211221 in words is "two hundred twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1171 1197 3513 3591 8197 10539 22249 24591 31617 52561 66747 73773 155743 157683 200241 221319 367927 467229 473049 600723 998659 1103781 1401687 1419147 2995977 3311343 4205061 6990613 8987931 9934029 20971839 26963793 61548931 62915517 184646793 188746551 430842517 553940379 1169429689 1292527551 1661821137 3508289067 3877582653 8186007823 10524867201 11632747959 24558023469 31574601603 73674070407 221022211221