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24331120020 = 22325612215949
BaseRepresentation
bin10110101010001111…
…110110110110010100
32022210200021221222100
4112222033312312110
5344312231320040
615102204202100
71520643051654
oct265217666624
968720257870
1024331120020
11a356312659
124870539330
1323a9aa1b4c
14126b5d0364
159760eab30
hex5aa3f6d94

24331120020 has 72 divisors (see below), whose sum is σ = 75014339400. Its totient is φ = 6381930240.

The previous prime is 24331119971. The next prime is 24331120027. The reversal of 24331120020 is 2002113342.

24331120020 is a `hidden beast` number, since 2 + 433 + 11 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165173904 + 24165946116 = 12852^2 + 155454^2 .

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 = 24331119975 and 24331120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24331120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096995 + ... + 1118954.

It is an arithmetic number, because the mean of its divisors is an integer number (1041865825).

Almost surely, 224331120020 is an apocalyptic number.

24331120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24331120020 is an abundant number, since it is smaller than the sum of its proper divisors (50683219380).

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

24331120020 is a wasteful number, since it uses less digits than its factorization.

24331120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216025 (or 2216020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 24331120020 its reverse (2002113342), we get a palindrome (26333233362).

The spelling of 24331120020 in words is "twenty-four billion, three hundred thirty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 2215949 4431898 6647847 8863796 11079745 13295694 19943541 22159490 26591388 33239235 39887082 44318980 66478470 79774164 99717705 132956940 135172889 199435410 270345778 398870820 405518667 540691556 675864445 811037334 1216556001 1351728890 1622074668 2027593335 2433112002 2703457780 4055186670 4866224004 6082780005 8110373340 12165560010 24331120020