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21000200200 = 2352733614463
BaseRepresentation
bin10011100011101101…
…011010000000001000
32000012112120200222121
4103203231122000020
5321002022401300
613351455101024
71342255520320
oct234355320010
960175520877
1021000200200
1189a707a261
1240a0b11774
131c98984c85
141033086280
1582d98b81a
hex4e3b5a008

21000200200 has 96 divisors (see below), whose sum is σ = 55829640960. Its totient is φ = 7196313600.

The previous prime is 21000200153. The next prime is 21000200251. The reversal of 21000200200 is 200200012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

21000200200 is a modest number, since divided by 200200 gives 21000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4703169 + ... + 4707631.

It is an arithmetic number, because the mean of its divisors is an integer number (581558760).

Almost surely, 221000200200 is an apocalyptic number.

21000200200 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 21000200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27914820480).

21000200200 is an abundant number, since it is smaller than the sum of its proper divisors (34829440760).

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

21000200200 is a wasteful number, since it uses less digits than its factorization.

21000200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 21000200200 its reverse (200200012), we get a palindrome (21200400212).

The spelling of 21000200200 in words is "twenty-one billion, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3361 4463 6722 8926 13444 16805 17852 22315 23527 26888 31241 33610 35704 44630 47054 62482 67220 84025 89260 94108 111575 117635 124964 134440 156205 168050 178520 188216 223150 235270 249928 312410 336100 446300 470540 588175 624820 672200 781025 892600 941080 1176350 1249640 1562050 2352700 3124100 4705400 6248200 15000143 30000286 60000572 75000715 105001001 120001144 150001430 210002002 300002860 375003575 420004004 525005005 600005720 750007150 840008008 1050010010 1500014300 2100020020 2625025025 3000028600 4200040040 5250050050 10500100100 21000200200