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20003341200 = 2435271234781
BaseRepresentation
bin10010101000010010…
…101100001110010000
31220122001211000111220
4102220102230032100
5311431323404300
613104525005040
71305462411003
oct225022541620
956561730456
1020003341200
118535401347
123a630b3780
131b6a2a768b
14d7a91553a
157c11cada0
hex4a84ac390

20003341200 has 120 divisors (see below), whose sum is σ = 64980144576. Its totient is φ = 5259072000.

The previous prime is 20003341187. The next prime is 20003341207. The reversal of 20003341200 is 214330002.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20003341200.

It is not an unprimeable number, because it can be changed into a prime (20003341207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32191 + ... + 202590.

Almost surely, 220003341200 is an apocalyptic number.

20003341200 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 20003341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32490072288).

20003341200 is an abundant number, since it is smaller than the sum of its proper divisors (44976803376).

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

20003341200 is a wasteful number, since it uses less digits than its factorization.

20003341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234873 (or 234862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20003341200 its reverse (214330002), we get a palindrome (20217671202).

The spelling of 20003341200 in words is "twenty billion, three million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 85200 234781 469562 704343 939124 1173905 1408686 1878248 2347810 2817372 3521715 3756496 4695620 5634744 5869525 7043430 9391240 11269488 11739050 14086860 16669451 17608575 18782480 23478100 28173720 33338902 35217150 46956200 50008353 56347440 66677804 70434300 83347255 93912400 100016706 133355608 140868600 166694510 200033412 250041765 266711216 281737200 333389020 400066824 416736275 500083530 666778040 800133648 833472550 1000167060 1250208825 1333556080 1666945100 2000334120 2500417650 3333890200 4000668240 5000835300 6667780400 10001670600 20003341200