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2003320120 = 2351743131523
BaseRepresentation
bin111011101101000…
…0011110100111000
312011121121012120111
41313122003310320
513100322220440
6530442034104
7100433640304
oct16732036470
95147535514
102003320120
1193890506a
1247aaa8934
1325c06a629
141500c0d04
15bad1b4ea
hex77683d38

2003320120 has 128 divisors (see below), whose sum is σ = 4930295040. Its totient is φ = 729630720.

The previous prime is 2003320097. The next prime is 2003320133. The reversal of 2003320120 is 210233002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003320120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3830179 + ... + 3830701.

It is an arithmetic number, because the mean of its divisors is an integer number (38517930).

Almost surely, 22003320120 is an apocalyptic number.

2003320120 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 2003320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465147520).

2003320120 is an abundant number, since it is smaller than the sum of its proper divisors (2926974920).

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

2003320120 is a wasteful number, since it uses less digits than its factorization.

2003320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2003320120 is about 44758.4642274509. The cubic root of 2003320120 is about 1260.6178459753.

Adding to 2003320120 its reverse (210233002), we get a palindrome (2213553122).

The spelling of 2003320120 in words is "two billion, three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 131 136 170 172 215 262 340 344 430 523 524 655 680 731 860 1046 1048 1310 1462 1720 2092 2227 2615 2620 2924 3655 4184 4454 5230 5240 5633 5848 7310 8891 8908 10460 11135 11266 14620 17782 17816 20920 22270 22489 22532 28165 29240 35564 44455 44540 44978 45064 56330 68513 71128 88910 89080 89956 95761 112445 112660 137026 177820 179912 191522 224890 225320 274052 342565 355640 382313 383044 449780 478805 548104 685130 764626 766088 899560 957610 1164721 1370260 1529252 1911565 1915220 2329442 2740520 2946059 3058504 3823130 3830440 4658884 5823605 5892118 7646260 9317768 11647210 11784236 14730295 15292520 23294420 23568472 29460590 46588840 50083003 58921180 100166006 117842360 200332012 250415015 400664024 500830030 1001660060 2003320120