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21311212200 = 2335256962423
BaseRepresentation
bin10011110110001111…
…110100101010101000
32001000012210202020120
4103312033310222220
5322121132242300
613442405123240
71353053212665
oct236617645250
961005722216
1021311212200
119046695173
1241690b9520
13201823a145
1410624c4a6c
1584ae233a0
hex4f63f4aa8

21311212200 has 96 divisors (see below), whose sum is σ = 66181924800. Its totient is φ = 5672911360.

The previous prime is 21311212199. The next prime is 21311212207. The reversal of 21311212200 is 221211312.

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 21311212200.

It is not an unprimeable number, because it can be changed into a prime (21311212207) 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, 310189 + ... + 372611.

It is an arithmetic number, because the mean of its divisors is an integer number (689395050).

Almost surely, 221311212200 is an apocalyptic number.

21311212200 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 21311212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33090962400).

21311212200 is an abundant number, since it is smaller than the sum of its proper divisors (44870712600).

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

21311212200 is a wasteful number, since it uses less digits than its factorization.

21311212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63011 (or 63002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21311212200 its reverse (221211312), we get a palindrome (21532423512).

The spelling of 21311212200 in words is "twenty-one billion, three hundred eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 569 600 1138 1707 2276 2845 3414 4552 5690 6828 8535 11380 13656 14225 17070 22760 28450 34140 42675 56900 62423 68280 85350 113800 124846 170700 187269 249692 312115 341400 374538 499384 624230 749076 936345 1248460 1498152 1560575 1872690 2496920 3121150 3745380 4681725 6242300 7490760 9363450 12484600 18726900 35518687 37453800 71037374 106556061 142074748 177593435 213112122 284149496 355186870 426224244 532780305 710373740 852448488 887967175 1065560610 1420747480 1775934350 2131121220 2663901525 3551868700 4262242440 5327803050 7103737400 10655606100 21311212200