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20241224120 = 2351382347297
BaseRepresentation
bin10010110110011110…
…001001000110111000
31221020122102201112102
4102312132021012320
5312423223132440
613144303402532
71314411365135
oct226636110670
957218381472
1020241224120
1186477092a7
123b0a8b3448
131ba76669c0
14da035958c
157d7019b15
hex4b67891b8

20241224120 has 64 divisors (see below), whose sum is σ = 49106675520. Its totient is φ = 7464443904.

The previous prime is 20241224119. The next prime is 20241224123. The reversal of 20241224120 is 2142214202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20241224092 and 20241224101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241224123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 404312 + ... + 451608.

It is an arithmetic number, because the mean of its divisors is an integer number (767291805).

Almost surely, 220241224120 is an apocalyptic number.

20241224120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24553337760).

20241224120 is an abundant number, since it is smaller than the sum of its proper divisors (28865451400).

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

20241224120 is a wasteful number, since it uses less digits than its factorization.

20241224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48144 (or 48140 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20241224120 its reverse (2142214202), we get a palindrome (22383438322).

The spelling of 20241224120 in words is "twenty billion, two hundred forty-one million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 823 1646 3292 4115 6584 8230 10699 16460 21398 32920 42796 47297 53495 85592 94594 106990 189188 213980 236485 378376 427960 472970 614861 945940 1229722 1891880 2459444 3074305 4918888 6148610 12297220 24594440 38925431 77850862 155701724 194627155 311403448 389254310 506030603 778508620 1012061206 1557017240 2024122412 2530153015 4048244824 5060306030 10120612060 20241224120