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20221221321 = 337124985661
BaseRepresentation
bin10010110101010001…
…110101100111001001
31221012020210110212000
4102311101311213021
5312403113040241
613142310541213
71314046355010
oct226521654711
957166713760
1020221221321
118637396964
123b04067809
131ba3482222
14d9b82da77
157d53b7eb6
hex4b54759c9

20221221321 has 32 divisors (see below), whose sum is σ = 34264800000. Its totient is φ = 11545597440.

The previous prime is 20221221301. The next prime is 20221221329. The reversal of 20221221321 is 12312212202.

It is not a de Polignac number, because 20221221321 - 210 = 20221220297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20221221294 and 20221221303.

It is not an unprimeable number, because it can be changed into a prime (20221221329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193231 + ... + 278891.

It is an arithmetic number, because the mean of its divisors is an integer number (1070775000).

Almost surely, 220221221321 is an apocalyptic number.

20221221321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20221221321 is a deficient number, since it is larger than the sum of its proper divisors (14043578679).

20221221321 is a wasteful number, since it uses less digits than its factorization.

20221221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86926 (or 86920 counting only the distinct ones).

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

Adding to 20221221321 its reverse (12312212202), we get a palindrome (32533433523).

The spelling of 20221221321 in words is "twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1249 3747 8743 11241 26229 33723 78687 85661 236061 256983 599627 770949 1798881 2312847 5396643 16189929 106990589 320971767 748934123 962915301 2246802369 2888745903 6740407107 20221221321