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13023325200 = 2435264116931
BaseRepresentation
bin11000010000100000…
…00010110000010000
31020121121200110121210
430020100002300100
5203132432401300
65552143020120
7640505303064
oct141020026020
936547613553
1013023325200
115583366a86
12263559a640
1312c717a7b2
148b78bbaa4
1551350d050
hex308402c10

13023325200 has 120 divisors (see below), whose sum is σ = 41785602336. Its totient is φ = 3467264000.

The previous prime is 13023325199. The next prime is 13023325207. The reversal of 13023325200 is 252332031.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (13023325207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760735 + ... + 777665.

Almost surely, 213023325200 is an apocalyptic number.

13023325200 is a gapful number since it is divisible by the number (10) 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 13023325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892801168).

13023325200 is an abundant number, since it is smaller than the sum of its proper divisors (28762277136).

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

13023325200 is a wasteful number, since it uses less digits than its factorization.

13023325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17593 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 13023325200 its reverse (252332031), we get a palindrome (13275657231).

The spelling of 13023325200 in words is "thirteen billion, twenty-three million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 641 1200 1282 1923 2564 3205 3846 5128 6410 7692 9615 10256 12820 15384 16025 16931 19230 25640 30768 32050 33862 38460 48075 50793 51280 64100 67724 76920 84655 96150 101586 128200 135448 153840 169310 192300 203172 253965 256400 270896 338620 384600 406344 423275 507930 677240 769200 812688 846550 1015860 1269825 1354480 1693100 2031720 2539650 3386200 4063440 5079300 6772400 10158600 10852771 20317200 21705542 32558313 43411084 54263855 65116626 86822168 108527710 130233252 162791565 173644336 217055420 260466504 271319275 325583130 434110840 520933008 542638550 651166260 813957825 868221680 1085277100 1302332520 1627915650 2170554200 2604665040 3255831300 4341108400 6511662600 13023325200