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21311112300 = 22352238934703
BaseRepresentation
bin10011110110001111…
…011100010001101100
32001000012121200012120
4103312033130101230
5322121121043200
613442403032540
71353052315512
oct236617342154
961005550176
1021311112300
119046627105
12416906b750
13201820382a
14106249a4b2
1584ae039a0
hex4f63dc46c

21311112300 has 144 divisors (see below), whose sum is σ = 65065835520. Its totient is φ = 5374645760.

The previous prime is 21311112299. The next prime is 21311112341. The reversal of 21311112300 is 321111312.

It is a happy number.

It is a super-2 number, since 2×213111123002 (a number of 21 digits) contains 22 as substring.

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 21311112300.

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 47 ways as a sum of consecutive naturals, for example, 596749 + ... + 631451.

It is an arithmetic number, because the mean of its divisors is an integer number (451846080).

Almost surely, 221311112300 is an apocalyptic number.

21311112300 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 21311112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32532917760).

21311112300 is an abundant number, since it is smaller than the sum of its proper divisors (43754723220).

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

21311112300 is a wasteful number, since it uses less digits than its factorization.

21311112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34832 (or 34825 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21311112300 its reverse (321111312), we get a palindrome (21632223612).

The spelling of 21311112300 in words is "twenty-one billion, three hundred eleven million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 89 92 100 115 138 150 178 230 267 276 300 345 356 445 460 534 575 690 890 1068 1150 1335 1380 1725 1780 2047 2225 2300 2670 3450 4094 4450 5340 6141 6675 6900 8188 8900 10235 12282 13350 20470 24564 26700 30705 34703 40940 51175 61410 69406 102350 104109 122820 138812 153525 173515 204700 208218 307050 347030 416436 520545 614100 694060 798169 867575 1041090 1596338 1735150 2082180 2394507 2602725 3088567 3192676 3470300 3990845 4789014 5205450 6177134 7981690 9265701 9578028 10410900 11972535 12354268 15442835 15963380 18531402 19954225 23945070 30885670 37062804 39908450 46328505 47890140 59862675 61771340 71037041 77214175 79816900 92657010 119725350 142074082 154428350 185314020 213111123 231642525 239450700 284148164 308856700 355185205 426222246 463285050 710370410 852444492 926570100 1065555615 1420740820 1775926025 2131111230 3551852050 4262222460 5327778075 7103704100 10655556150 21311112300