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20321111232 = 263256962003
BaseRepresentation
bin10010111011001110…
…111000110011000000
31221110012202102001100
4102323032320303000
5313104201024412
613200235534400
71316401411152
oct227316706300
957405672040
1020321111232
118688812704
123b315ba400
131bbb087896
14daabd2ad2
157de049edc
hex4bb3b8cc0

20321111232 has 84 divisors (see below), whose sum is σ = 58350104280. Its totient is φ = 6761690112.

The previous prime is 20321111203. The next prime is 20321111281. The reversal of 20321111232 is 23211112302.

20321111232 is a `hidden beast` number, since 2 + 0 + 321 + 111 + 232 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 296743 + ... + 358745.

Almost surely, 220321111232 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 20321111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175052140).

20321111232 is an abundant number, since it is smaller than the sum of its proper divisors (38028993048).

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

20321111232 is a wasteful number, since it uses less digits than its factorization.

20321111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62590 (or 62577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20321111232 its reverse (23211112302), we get a palindrome (43532223534).

The spelling of 20321111232 in words is "twenty billion, three hundred twenty-one million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 569 576 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 36416 40968 54624 62003 81936 109248 124006 163872 186009 248012 327744 372018 496024 558027 744036 992048 1116054 1488072 1984096 2232108 2976144 3968192 4464216 5952288 8928432 11904576 17856864 35279707 35713728 70559414 105839121 141118828 211678242 282237656 317517363 423356484 564475312 635034726 846712968 1128950624 1270069452 1693425936 2257901248 2540138904 3386851872 5080277808 6773703744 10160555616 20321111232