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20130321200 = 24521131147583
BaseRepresentation
bin10010101111110111…
…000101001100110000
31220221220202021022212
4102233313011030300
5312211330234300
613125302351252
71311563623043
oct225767051460
956856667285
1020130321200
1185a00502a0
123a9972b528
131b8a6a6682
14d8d72ac5a
157cc40e935
hex4afdc5330

20130321200 has 120 divisors (see below), whose sum is σ = 54462038016. Its totient is φ = 7083936000.

The previous prime is 20130321173. The next prime is 20130321217. The reversal of 20130321200 is 212303102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62609 + ... + 210191.

Almost surely, 220130321200 is an apocalyptic number.

20130321200 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 20130321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27231019008).

20130321200 is an abundant number, since it is smaller than the sum of its proper divisors (34331716816).

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

20130321200 is a wasteful number, since it uses less digits than its factorization.

20130321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147643 (or 147632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20130321200 its reverse (212303102), we get a palindrome (20342624302).

The spelling of 20130321200 in words is "twenty billion, one hundred thirty million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 12400 13640 17050 27280 34100 68200 136400 147583 295166 590332 737915 1180664 1475830 1623413 2361328 2951660 3246826 3689575 4575073 5903320 6493652 7379150 8117065 9150146 11806640 12987304 14758300 16234130 18300292 22875365 25974608 29516600 32468260 36600584 40585325 45750730 50325803 59033200 64936520 73201168 81170650 91501460 100651606 114376825 129873040 162341300 183002920 201303212 228753650 251629015 324682600 366005840 402606424 457507300 503258030 649365200 805212848 915014600 1006516060 1258145075 1830029200 2013032120 2516290150 4026064240 5032580300 10065160600 20130321200