Search a number
-
+
21033113200 = 24521134913697
BaseRepresentation
bin10011100101101010…
…111101011001110000
32000021211111212010121
4103211222331121300
5321033434110300
613355032340024
71343135340511
oct234552753160
960254455117
1021033113200
118a1370a290
1240abb44614
131ca2739b18
1410375b2a08
158317dd81a
hex4e5abd670

21033113200 has 120 divisors (see below), whose sum is σ = 55287867600. Its totient is φ = 7625932800.

The previous prime is 21033113161. The next prime is 21033113207. The reversal of 21033113200 is 231133012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033113207) by changing a digit.

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, 1528752 + ... + 1542448.

It is an arithmetic number, because the mean of its divisors is an integer number (460732230).

Almost surely, 221033113200 is an apocalyptic number.

21033113200 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 21033113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27643933800).

21033113200 is an abundant number, since it is smaller than the sum of its proper divisors (34254754400).

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

21033113200 is a wasteful number, since it uses less digits than its factorization.

21033113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14075 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21033113200 its reverse (231133012), we get a palindrome (21264246212).

The spelling of 21033113200 in words is "twenty-one billion, thirty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 349 400 440 550 698 880 1100 1396 1745 2200 2792 3490 3839 4400 5584 6980 7678 8725 13697 13960 15356 17450 19195 27394 27920 30712 34900 38390 54788 61424 68485 69800 76780 95975 109576 136970 139600 150667 153560 191950 219152 273940 301334 307120 342425 383900 547880 602668 684850 753335 767800 1095760 1205336 1369700 1506670 1535600 2410672 2739400 3013340 3766675 4780253 5478800 6026680 7533350 9560506 12053360 15066700 19121012 23901265 30133400 38242024 47802530 52582783 60266800 76484048 95605060 105165566 119506325 191210120 210331132 239012650 262913915 382420240 420662264 478025300 525827830 841324528 956050600 1051655660 1314569575 1912101200 2103311320 2629139150 4206622640 5258278300 10516556600 21033113200