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2120043024 = 2433111094093
BaseRepresentation
bin111111001011101…
…0100101000010000
312110202020100022000
41332113110220100
513320212334044
6550211514000
7103352032311
oct17627245020
95422210260
102120043024
11998788780
124b1bb8900
1327a2b7a38
141617c6608
15c61c5d69
hex7e5d4a10

2120043024 has 160 divisors (see below), whose sum is σ = 6701059200. Its totient is φ = 636387840.

The previous prime is 2120043017. The next prime is 2120043083. The reversal of 2120043024 is 4203400212.

2120043024 is a `hidden beast` number, since 212 + 0 + 0 + 430 + 24 = 666.

It is a super-2 number, since 2×21200430242 = 8989164847222129152, which contains 22 as substring.

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 = 2120042988 and 2120043006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515922 + ... + 520014.

It is an arithmetic number, because the mean of its divisors is an integer number (41881620).

Almost surely, 22120043024 is an apocalyptic number.

2120043024 is a gapful number since it is divisible by the number (24) 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 2120043024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350529600).

2120043024 is an abundant number, since it is smaller than the sum of its proper divisors (4581016176).

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

2120043024 is a wasteful number, since it uses less digits than its factorization.

2120043024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2120043024 is about 46043.9249412993. The cubic root of 2120043024 is about 1284.6403479041.

Adding to 2120043024 its reverse (4203400212), we get a palindrome (6323443236).

The spelling of 2120043024 in words is "two billion, one hundred twenty million, forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 109 132 144 176 198 216 218 264 297 327 396 432 436 528 594 654 792 872 981 1188 1199 1308 1584 1744 1962 2376 2398 2616 2943 3597 3924 4093 4752 4796 5232 5886 7194 7848 8186 9592 10791 11772 12279 14388 15696 16372 19184 21582 23544 24558 28776 32373 32744 36837 43164 45023 47088 49116 57552 64746 65488 73674 86328 90046 98232 110511 129492 135069 147348 172656 180092 196464 221022 258984 270138 294696 360184 405207 442044 446137 517968 540276 589392 720368 810414 884088 892274 1080552 1215621 1338411 1620828 1768176 1784548 2161104 2431242 2676822 3241656 3569096 4015233 4862484 4907507 5353644 6483312 7138192 8030466 9724968 9815014 10707288 12045699 14722521 16060932 19449936 19630028 21414576 24091398 29445042 32121864 39260056 44167563 48182796 58890084 64243728 78520112 88335126 96365592 117780168 132502689 176670252 192731184 235560336 265005378 353340504 530010756 706681008 1060021512 2120043024