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20221221120303 = 3722916728403743
BaseRepresentation
bin1001001100100000111101…
…01100111010100100101111
32122121010111200000210112210
410212100132230322210233
510122301030101322203
6111001300054301503
74154635465354200
oct446203654724457
978533450023483
1020221221120303
116496854179a95
122327012057893
13b38b11c88318
144dc9d88915a7
15251001384803
hex12641eb3a92f

20221221120303 has 48 divisors (see below), whose sum is σ = 32639310305280. Its totient is φ = 11089729796544.

The previous prime is 20221221120263. The next prime is 20221221120323. The reversal of 20221221120303 is 30302112212202.

It is not a de Polignac number, because 20221221120303 - 26 = 20221221120239 is a prime.

It is a super-2 number, since 2×202212211203032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20221221120303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221221120323) 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, 13489951 + ... + 14913792.

It is an arithmetic number, because the mean of its divisors is an integer number (679985631360).

Almost surely, 220221221120303 is an apocalyptic number.

20221221120303 is a deficient number, since it is larger than the sum of its proper divisors (12418089184977).

20221221120303 is a wasteful number, since it uses less digits than its factorization.

20221221120303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403956 (or 28403949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20221221120303 its reverse (30302112212202), we get a palindrome (50523333332505).

The spelling of 20221221120303 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, three hundred three".

Divisors: 1 3 7 21 29 49 87 147 167 203 501 609 1169 1421 3507 4263 4843 8183 14529 24549 33901 101703 237307 711921 28403743 85211229 198826201 596478603 823708547 1391783407 2471125641 4175350221 4743425081 5765959829 14230275243 17297879487 33203975567 40361718803 99611926701 121085156409 137559327349 232427828969 412677982047 697283486907 962915291443 2888745874329 6740407040101 20221221120303