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10043310024 = 23321128344809
BaseRepresentation
bin10010101101010000…
…01011111111001000
3221220221021000022100
421112220023333020
5131032041410044
64340330553400
7503611504146
oct112650137710
927827230270
1010043310024
114294206520
121b43598860
13c409727c7
146b3bd8596
153dbab5869
hex256a0bfc8

10043310024 has 96 divisors (see below), whose sum is σ = 29778933600. Its totient is φ = 3032605440.

The previous prime is 10043310001. The next prime is 10043310083. The reversal of 10043310024 is 42001334001.

10043310024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10043309979 and 10043310006.

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, 201732 + ... + 246540.

It is an arithmetic number, because the mean of its divisors is an integer number (310197225).

Almost surely, 210043310024 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 10043310024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889466800).

10043310024 is an abundant number, since it is smaller than the sum of its proper divisors (19735623576).

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

10043310024 is a wasteful number, since it uses less digits than its factorization.

10043310024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45115 (or 45108 counting only the distinct ones).

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

Adding to 10043310024 its reverse (42001334001), we get a palindrome (52044644025).

The spelling of 10043310024 in words is "ten billion, forty-three million, three hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 283 396 566 792 849 1132 1698 2264 2547 3113 3396 5094 6226 6792 9339 10188 12452 18678 20376 24904 28017 37356 44809 56034 74712 89618 112068 134427 179236 224136 268854 358472 403281 492899 537708 806562 985798 1075416 1478697 1613124 1971596 2957394 3226248 3943192 4436091 5914788 8872182 11829576 12680947 17744364 25361894 35488728 38042841 50723788 76085682 101447576 114128523 139490417 152171364 228257046 278980834 304342728 418471251 456514092 557961668 836942502 913028184 1115923336 1255413753 1673885004 2510827506 3347770008 5021655012 10043310024