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13002300200 = 23522313121577
BaseRepresentation
bin11000001101111111…
…10101101100101000
31020120011010021202002
430012333311230220
5203112042101300
65550112230132
7640131504521
oct140677655450
936504107662
1013002300200
11557250664a
12262a53b348
1312c29c8976
148b4ba7848
155117585d5
hex306ff5b28

13002300200 has 96 divisors (see below), whose sum is σ = 31786983360. Its totient is φ = 4936588800.

The previous prime is 13002300187. The next prime is 13002300221. The reversal of 13002300200 is 200320031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591812 + ... + 613388.

It is an arithmetic number, because the mean of its divisors is an integer number (331114410).

Almost surely, 213002300200 is an apocalyptic number.

13002300200 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 13002300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893491680).

13002300200 is an abundant number, since it is smaller than the sum of its proper divisors (18784683160).

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

13002300200 is a wasteful number, since it uses less digits than its factorization.

13002300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21747 (or 21738 counting only the distinct ones).

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

Adding to 13002300200 its reverse (200320031), we get a palindrome (13202620231).

The spelling of 13002300200 in words is "thirteen billion, two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 131 184 200 230 262 460 524 575 655 920 1048 1150 1310 2300 2620 3013 3275 4600 5240 6026 6550 12052 13100 15065 21577 24104 26200 30130 43154 60260 75325 86308 107885 120520 150650 172616 215770 301300 431540 496271 539425 602600 863080 992542 1078850 1985084 2157700 2481355 2826587 3970168 4315400 4962710 5653174 9925420 11306348 12406775 14132935 19850840 22612696 24813550 28265870 49627100 56531740 65011501 70664675 99254200 113063480 130023002 141329350 260046004 282658700 325057505 520092008 565317400 650115010 1300230020 1625287525 2600460040 3250575050 6501150100 13002300200