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2221232121 = 321729349549
BaseRepresentation
bin1000010001100101…
…0100111111111001
312201210122021122100
42010121110333321
514022113411441
61004224414013
7106021106253
oct20431247771
95653567570
102221232121
11a3a911629
1251ba77309
13295256844
14171006cd3
15d0012cb6
hex84654ff9

2221232121 has 24 divisors (see below), whose sum is σ = 3408841800. Its totient is φ = 1388929536.

The previous prime is 2221232081. The next prime is 2221232131. The reversal of 2221232121 is 1212321222.

It can be written as a sum of positive squares in 4 ways, for example, as 1583164521 + 638067600 = 39789^2 + 25260^2 .

It is not a de Polignac number, because 2221232121 - 213 = 2221223929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221232094 and 2221232103.

It is not an unprimeable number, because it can be changed into a prime (2221232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20055 + ... + 69603.

It is an arithmetic number, because the mean of its divisors is an integer number (142035075).

Almost surely, 22221232121 is an apocalyptic number.

It is an amenable number.

2221232121 is a deficient number, since it is larger than the sum of its proper divisors (1187609679).

2221232121 is a wasteful number, since it uses less digits than its factorization.

2221232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49865 (or 49862 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2221232121 is about 47129.9492997818. The cubic root of 2221232121 is about 1304.7620458376.

Adding to 2221232121 its reverse (1212321222), we get a palindrome (3433553343).

The spelling of 2221232121 in words is "two billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 293 879 2637 4981 14943 44829 49549 148647 445941 842333 2526999 7580997 14517857 43553571 130660713 246803569 740410707 2221232121