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20220021222021 = 32101373541110233
BaseRepresentation
bin1001001100011110101110…
…01011101010101010000101
32122121000102001012122112200
410212033113023222222011
510122241100413101041
6111000541032305113
74154563655401365
oct446172713525205
978530361178480
1020220021222021
116496298932715
122326938242199
13b389804cb23a
144dc92338a9a5
15250e80d691b6
hex1263d72eaa85

20220021222021 has 48 divisors (see below), whose sum is σ = 29629885929072. Its totient is φ = 13286042496000.

The previous prime is 20220021222001. The next prime is 20220021222029. The reversal of 20220021222021 is 12022212002202.

20220021222021 is a `hidden beast` number, since 202 + 200 + 21 + 2 + 220 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7342940165796 + 12877081056225 = 2709786^2 + 3588465^2 .

It is not a de Polignac number, because 20220021222021 - 27 = 20220021221893 is a prime.

It is a super-3 number, since 3×202200212220213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20220021221985 and 20220021222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220021222029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183374721 + ... + 183484953.

It is an arithmetic number, because the mean of its divisors is an integer number (617289290189).

Almost surely, 220220021222021 is an apocalyptic number.

It is an amenable number.

20220021222021 is a deficient number, since it is larger than the sum of its proper divisors (9409864707051).

20220021222021 is a wasteful number, since it uses less digits than its factorization.

20220021222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111254 (or 111251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220021222021 its reverse (12022212002202), we get a palindrome (32242233224223).

The spelling of 20220021222021 in words is "twenty trillion, two hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 101 303 373 541 909 1119 1623 3357 4869 37673 54641 110233 113019 163923 201793 330699 339057 491769 605379 992097 1816137 11133533 20381093 33400599 41116909 59636053 61143279 100201797 123350727 178908159 183429837 370052181 536724477 4152807809 6023241353 12458423427 18069724059 22244247769 37375270281 54209172177 66732743307 200198229921 2246669024669 6740007074007 20220021222021