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221121112221 = 3343537694673
BaseRepresentation
bin1100110111101111011…
…0000110100010011101
3210010202022101100121000
43031323312012202131
512110324001042341
6245325344500513
721655405304442
oct3157366064235
9703668340530
10221121112221
1185860115449
1236a3101a739
1317b0c05a209
14a9b923d9c9
155b428468b6
hex337bd8689d

221121112221 has 64 divisors (see below), whose sum is σ = 342047059200. Its totient is φ = 141055229952.

The previous prime is 221121112211. The next prime is 221121112279. The reversal of 221121112221 is 122211121122.

221121112221 is a `hidden beast` number, since 221 + 1 + 211 + 12 + 221 = 666.

It is not a de Polignac number, because 221121112221 - 214 = 221121095837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221121112194 and 221121112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121112211) 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, 47316541 + ... + 47321213.

It is an arithmetic number, because the mean of its divisors is an integer number (5344485300).

Almost surely, 2221121112221 is an apocalyptic number.

It is an amenable number.

221121112221 is a deficient number, since it is larger than the sum of its proper divisors (120925946979).

221121112221 is a wasteful number, since it uses less digits than its factorization.

221121112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5541 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 221121112221 its reverse (122211121122), we get a palindrome (343332233343).

The spelling of 221121112221 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 43 53 129 159 387 477 769 1161 1431 2279 2307 4673 6837 6921 14019 20511 20763 33067 40757 42057 61533 99201 122271 126171 200939 247669 297603 366813 602817 743007 892809 1100439 1752551 1808451 2229021 3593537 5257653 5425353 6687063 10649767 10780611 15772959 31949301 32341833 47318877 95847903 97025499 154522091 190457461 287543709 463566273 571372383 1390698819 1714117149 4172096457 5142351447 8189670823 24569012469 73707037407 221121112221