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21302122200 = 23352197180221
BaseRepresentation
bin10011110101101101…
…001001011011011000
32000222120200221002220
4103311231021123120
5322111320402300
613441442224040
71352613023352
oct236555113330
960876627086
1021302122200
119041546777
124166055020
1320163a6848
1410611da0d2
1584a229da0
hex4f5b496d8

21302122200 has 96 divisors (see below), whose sum is σ = 66372158160. Its totient is φ = 5651699200.

The previous prime is 21302122183. The next prime is 21302122217. The reversal of 21302122200 is 222120312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21302122183) and next prime (21302122217).

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 21302122200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28090 + ... + 208310.

Almost surely, 221302122200 is an apocalyptic number.

21302122200 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 21302122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33186079080).

21302122200 is an abundant number, since it is smaller than the sum of its proper divisors (45070035960).

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

21302122200 is a wasteful number, since it uses less digits than its factorization.

21302122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180437 (or 180428 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21302122200 its reverse (222120312), we get a palindrome (21524242512).

The spelling of 21302122200 in words is "twenty-one billion, three hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 300 394 591 600 788 985 1182 1576 1970 2364 2955 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 29550 39400 59100 118200 180221 360442 540663 720884 901105 1081326 1441768 1802210 2162652 2703315 3604420 4325304 4505525 5406630 7208840 9011050 10813260 13516575 18022100 21626520 27033150 35503537 36044200 54066300 71007074 106510611 108132600 142014148 177517685 213021222 284028296 355035370 426042444 532553055 710070740 852084888 887588425 1065106110 1420141480 1775176850 2130212220 2662765275 3550353700 4260424440 5325530550 7100707400 10651061100 21302122200