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20221220124 = 22327409196193
BaseRepresentation
bin10010110101010001…
…110101010100011100
31221012020210102012200
4102311101311110130
5312403113020444
613142310531500
71314046351350
oct226521652434
957166712180
1020221220124
118637395a76
123b04066b90
131ba3481811
14d9b82d460
157d53b7969
hex4b547551c

20221220124 has 72 divisors (see below), whose sum is σ = 58559985120. Its totient is φ = 5763336192.

The previous prime is 20221220093. The next prime is 20221220143. The reversal of 20221220124 is 42102212202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20221220097 and 20221220106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4972 + ... + 201164.

Almost surely, 220221220124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221220124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279992560).

20221220124 is an abundant number, since it is smaller than the sum of its proper divisors (38338764996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221220124 is a wasteful number, since it uses less digits than its factorization.

20221220124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196619 (or 196614 counting only the distinct ones).

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

Adding to 20221220124 its reverse (42102212202), we get a palindrome (62323432326).

The spelling of 20221220124 in words is "twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 409 818 1227 1636 2454 2863 3681 4908 5726 7362 8589 11452 14724 17178 25767 34356 51534 103068 196193 392386 588579 784772 1177158 1373351 1765737 2354316 2746702 3531474 4120053 5493404 7062948 8240106 12360159 16480212 24720318 49440636 80242937 160485874 240728811 320971748 481457622 561700559 722186433 962915244 1123401118 1444372866 1685101677 2246802236 2888745732 3370203354 5055305031 6740406708 10110610062 20221220124