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21114342200 = 2352789169457
BaseRepresentation
bin10011101010100000…
…110100101100111000
32000111111100201101002
4103222200310230320
5321220232422300
613411053344132
71345142642660
oct235240645470
960444321332
1021114342200
118a5554a896
124113198048
131cb650a713
1410442b91a0
158389d65d5
hex4ea834b38

21114342200 has 96 divisors (see below), whose sum is σ = 56734538400. Its totient is φ = 7157821440.

The previous prime is 21114342191. The next prime is 21114342239. The reversal of 21114342200 is 224341112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 39872 + ... + 209328.

It is an arithmetic number, because the mean of its divisors is an integer number (590984775).

Almost surely, 221114342200 is an apocalyptic number.

21114342200 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 21114342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28367269200).

21114342200 is an abundant number, since it is smaller than the sum of its proper divisors (35620196200).

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

21114342200 is a wasteful number, since it uses less digits than its factorization.

21114342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169569 (or 169560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21114342200 its reverse (224341112), we get a palindrome (21338683312).

The spelling of 21114342200 in words is "twenty-one billion, one hundred fourteen million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 140 175 178 200 280 350 356 445 623 700 712 890 1246 1400 1780 2225 2492 3115 3560 4450 4984 6230 8900 12460 15575 17800 24920 31150 62300 124600 169457 338914 677828 847285 1186199 1355656 1694570 2372398 3389140 4236425 4744796 5930995 6778280 8472850 9489592 11861990 15081673 16945700 23723980 29654975 30163346 33891400 47447960 59309950 60326692 75408365 105571711 118619900 120653384 150816730 211143422 237239800 301633460 377041825 422286844 527858555 603266920 754083650 844573688 1055717110 1508167300 2111434220 2639292775 3016334600 4222868440 5278585550 10557171100 21114342200