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22021222212121 = 112337540040273
BaseRepresentation
bin1010000000111001101110…
…01000001010001000011001
32212222012121211122102201011
411000130313020022020121
510341243430341241441
6114500224304453521
74431660262243336
oct500346710121031
985865554572634
1022021222212121
117020169934a00
122577a3a91a2a1
13c397914c3472
14561b9346598d
15282c51056581
hex14073720a219

22021222212121 has 12 divisors (see below), whose sum is σ = 24276970477396. Its totient is φ = 19959888453120.

The previous prime is 22021222212113. The next prime is 22021222212229. The reversal of 22021222212121 is 12121222212022.

It can be written as a sum of positive squares in 2 ways, for example, as 1773787130896 + 20247435081225 = 1331836^2 + 4499715^2 .

It is not a de Polignac number, because 22021222212121 - 23 = 22021222212113 is a prime.

It is a super-2 number, since 2×220212222121212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22021222212092 and 22021222212101.

It is not an unprimeable number, because it can be changed into a prime (22021222272121) 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 11 ways as a sum of consecutive naturals, for example, 269979360 + ... + 270060913.

Almost surely, 222021222212121 is an apocalyptic number.

It is an amenable number.

22021222212121 is a deficient number, since it is larger than the sum of its proper divisors (2255748265275).

22021222212121 is a wasteful number, since it uses less digits than its factorization.

22021222212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540040632 (or 540040621 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22021222212121 its reverse (12121222212022), we get a palindrome (34142444424143).

Subtracting from 22021222212121 its reverse (12121222212022), we obtain a palindrome (9900000000099).

The spelling of 22021222212121 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 121 337 3707 40777 540040273 5940443003 65344873033 181993572001 2001929292011 22021222212121