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2013300300 = 22352115211171
BaseRepresentation
bin111100000000000…
…1000011001001100
312012022101020210210
41320000020121030
513110401102200
6531440002420
7100614525114
oct17000103114
95168336723
102013300300
11943501350
12482300410
1326115316b
1415155c044
15bbb3d650
hex7800864c

2013300300 has 144 divisors (see below), whose sum is σ = 6372342144. Its totient is φ = 486720000.

The previous prime is 2013300283. The next prime is 2013300329. The reversal of 2013300300 is 30033102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718715 + ... + 1719885.

It is an arithmetic number, because the mean of its divisors is an integer number (44252376).

Almost surely, 22013300300 is an apocalyptic number.

2013300300 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 2013300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186171072).

2013300300 is an abundant number, since it is smaller than the sum of its proper divisors (4359041844).

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

2013300300 is a wasteful number, since it uses less digits than its factorization.

2013300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2013300300 is about 44869.8150207910. The cubic root of 2013300300 is about 1262.7077696156.

Adding to 2013300300 its reverse (30033102), we get a palindrome (2043333402).

The spelling of 2013300300 in words is "two billion, thirteen million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 521 550 660 825 1042 1100 1171 1563 1650 2084 2342 2605 3126 3300 3513 4684 5210 5731 5855 6252 7026 7815 10420 11462 11710 12881 13025 14052 15630 17193 17565 22924 23420 25762 26050 28655 29275 31260 34386 35130 38643 39075 51524 52100 57310 58550 64405 68772 70260 77286 78150 85965 87825 114620 117100 128810 143275 154572 156300 171930 175650 193215 257620 286550 322025 343860 351300 386430 429825 573100 610091 644050 772860 859650 966075 1220182 1288100 1719300 1830273 1932150 2440364 3050455 3660546 3864300 6100910 6711001 7321092 9151365 12201820 13422002 15252275 18302730 20133003 26844004 30504550 33555005 36605460 40266006 45756825 61009100 67110010 80532012 91513650 100665015 134220020 167775025 183027300 201330030 335550050 402660060 503325075 671100100 1006650150 2013300300