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21233133300 = 223524111931447
BaseRepresentation
bin10011110001100101…
…111110011011110100
32000210202212221010110
4103301211332123310
5321441140231200
613430535423020
71351114440501
oct236145763364
960722787113
1021233133300
119006606355
124146b24a70
132005000302
141055d9c4a8
1584414db50
hex4f197e6f4

21233133300 has 144 divisors (see below), whose sum is σ = 63029215872. Its totient is φ = 5515622400.

The previous prime is 21233133287. The next prime is 21233133301. The reversal of 21233133300 is 333133212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233133301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14673177 + ... + 14674623.

It is an arithmetic number, because the mean of its divisors is an integer number (437702888).

Almost surely, 221233133300 is an apocalyptic number.

21233133300 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 21233133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31514607936).

21233133300 is an abundant number, since it is smaller than the sum of its proper divisors (41796082572).

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

21233133300 is a wasteful number, since it uses less digits than its factorization.

21233133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21233133300 its reverse (333133212), we get a palindrome (21566266512).

The spelling of 21233133300 in words is "twenty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1193 1230 1447 2050 2386 2460 2894 3075 3579 4100 4341 4772 5788 5965 6150 7158 7235 8682 11930 12300 14316 14470 17364 17895 21705 23860 28940 29825 35790 36175 43410 48913 59327 59650 71580 72350 86820 89475 97826 108525 118654 119300 144700 146739 177981 178950 195652 217050 237308 244565 293478 296635 355962 357900 434100 489130 586956 593270 711924 733695 889905 978260 1186540 1222825 1467390 1483175 1726271 1779810 2445650 2934780 2966350 3452542 3559620 3668475 4449525 4891300 5178813 5932700 6905084 7336950 8631355 8899050 10357626 14673900 17262710 17798100 20715252 25894065 34525420 43156775 51788130 70777111 86313550 103576260 129470325 141554222 172627100 212331333 258940650 283108444 353885555 424662666 517881300 707771110 849325332 1061656665 1415542220 1769427775 2123313330 3538855550 4246626660 5308283325 7077711100 10616566650 21233133300