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2010003320 = 2351379113433
BaseRepresentation
bin111011111001110…
…0011011101111000
312012002011202012102
41313303203131320
513104030101240
6531241202532
7100544513663
oct16763433570
95162152172
102010003320
1194165a276
12481190448
1326056a5a0
14150d406da
15bb6db815
hex77ce3778

2010003320 has 128 divisors (see below), whose sum is σ = 4987180800. Its totient is φ = 724598784.

The previous prime is 2010003301. The next prime is 2010003337. The reversal of 2010003320 is 233000102.

It is a super-2 number, since 2×20100033202 = 8080226692822044800, which contains 22 as substring.

It is a congruent number.

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, 4641824 + ... + 4642256.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 22010003320 is an apocalyptic number.

2010003320 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 2010003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493590400).

2010003320 is an abundant number, since it is smaller than the sum of its proper divisors (2977177480).

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

2010003320 is a wasteful number, since it uses less digits than its factorization.

2010003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2010003320 is about 44833.0605691826. The cubic root of 2010003320 is about 1262.0181230617.

Adding to 2010003320 its reverse (233000102), we get a palindrome (2243003422).

The spelling of 2010003320 in words is "two billion, ten million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 113 130 158 226 260 316 395 433 452 520 565 632 790 866 904 1027 1130 1469 1580 1732 2054 2165 2260 2938 3160 3464 4108 4330 4520 5135 5629 5876 7345 8216 8660 8927 10270 11258 11752 14690 17320 17854 20540 22516 28145 29380 34207 35708 41080 44635 45032 48929 56290 58760 68414 71416 89270 97858 112580 116051 136828 171035 178540 195716 225160 232102 244645 273656 342070 357080 391432 444691 464204 489290 580255 636077 684140 889382 928408 978580 1160510 1272154 1368280 1778764 1957160 2223455 2321020 2544308 3180385 3557528 3865391 4446910 4642040 5088616 6360770 7730782 8893820 12721540 15461564 17787640 19326955 25443080 30923128 38653910 50250083 77307820 100500166 154615640 201000332 251250415 402000664 502500830 1005001660 2010003320