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22022211202121 = 134096869602977
BaseRepresentation
bin1010000000111011100100…
…00100110110110001001001
32212222022011202121022221102
411000131302010312301021
510341302442031431441
6114500510354151145
74432023631440164
oct500356204666111
985868152538842
1022022211202121
117020627118809
122578075b824b5
13c398bb377150
14561c48948adb
15282caccb069b
hex140772136c49

22022211202121 has 16 divisors (see below), whose sum is σ = 23777713856400. Its totient is φ = 20275506966528.

The previous prime is 22022211202081. The next prime is 22022211202141. The reversal of 22022211202121 is 12120211222022.

It can be written as a sum of positive squares in 8 ways, for example, as 239791399225 + 21782419802896 = 489685^2 + 4667164^2 .

It is a cyclic number.

It is not a de Polignac number, because 22022211202121 - 234 = 22005031332937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22022211202093 and 22022211202102.

It is not an unprimeable number, because it can be changed into a prime (22022211202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36220985 + ... + 36823961.

It is an arithmetic number, because the mean of its divisors is an integer number (1486107116025).

Almost surely, 222022211202121 is an apocalyptic number.

It is an amenable number.

22022211202121 is a deficient number, since it is larger than the sum of its proper divisors (1755502654279).

22022211202121 is a wasteful number, since it uses less digits than its factorization.

22022211202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610268.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22022211202121 its reverse (12120211222022), we get a palindrome (34142422424143).

The spelling of 22022211202121 in words is "twenty-two trillion, twenty-two billion, two hundred eleven million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 13 409 5317 6869 89297 602977 2809421 7838701 36522473 246617593 3206028709 4141849013 53844037169 1694016246317 22022211202121