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20221221319 = 131791498739
BaseRepresentation
bin10010110101010001…
…110101100111000111
31221012020210110211221
4102311101311213013
5312403113040234
613142310541211
71314046355005
oct226521654707
957166713757
1020221221319
118637396962
123b04067807
131ba3482220
14d9b82da75
157d53b7eb4
hex4b54759c7

20221221319 has 8 divisors (see below), whose sum is σ = 23057682480. Its totient is φ = 17567757696.

The previous prime is 20221221301. The next prime is 20221221329. The reversal of 20221221319 is 91312212202.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20221221319 - 213 = 20221213127 is a prime.

It is a super-2 number, since 2×202212213192 (a number of 21 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 = 20221221293 and 20221221302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221221329) 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 7 ways as a sum of consecutive naturals, for example, 45749149 + ... + 45749590.

It is an arithmetic number, because the mean of its divisors is an integer number (2882210310).

Almost surely, 220221221319 is an apocalyptic number.

20221221319 is a deficient number, since it is larger than the sum of its proper divisors (2836461161).

20221221319 is a wasteful number, since it uses less digits than its factorization.

20221221319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91498769.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 20221221319 in words is "twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 13 17 221 91498739 1189483607 1555478563 20221221319