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221022221121 = 321341103447331
BaseRepresentation
bin1100110111010111110…
…0110111001101000001
3210010111102022011111200
43031311330313031001
512110123142033441
6245311453131413
721653064611262
oct3156574671501
9703442264450
10221022221121
118580a311069
1236a03a89b69
1317ac4714380
14a9aa05a969
155b38d107b6
hex3375f37341

221022221121 has 48 divisors (see below), whose sum is σ = 355618204032. Its totient is φ = 131407660800.

The previous prime is 221022221099. The next prime is 221022221131. The reversal of 221022221121 is 121122220122.

It is a happy number.

221022221121 is a `hidden beast` number, since 2 + 210 + 222 + 211 + 21 = 666.

It is not a de Polignac number, because 221022221121 - 29 = 221022220609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221022221094 and 221022221103.

It is not an unprimeable number, because it can be changed into a prime (221022221131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270426 + ... + 717756.

It is an arithmetic number, because the mean of its divisors is an integer number (7408712584).

Almost surely, 2221022221121 is an apocalyptic number.

It is an amenable number.

221022221121 is a deficient number, since it is larger than the sum of its proper divisors (134595982911).

221022221121 is a wasteful number, since it uses less digits than its factorization.

221022221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447494 (or 447491 counting only the distinct ones).

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

Adding to 221022221121 its reverse (121122220122), we get a palindrome (342144441243).

Subtracting from 221022221121 its reverse (121122220122), we obtain a palindrome (99900000999).

The spelling of 221022221121 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 41 103 117 123 309 369 533 927 1339 1599 4017 4223 4797 12051 12669 38007 54899 164697 447331 494091 1341993 4025979 5815303 17445909 18340571 46075093 52337727 55021713 138225279 165065139 238427423 414675837 598976209 715282269 1796928627 1889078813 2145846807 5390785881 5667236439 17001709317 24558024569 73674073707 221022221121