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21200200112 = 2471328151817
BaseRepresentation
bin10011101111101000…
…010110000110110000
32000201110220202021202
4103233220112012300
5321404222400422
613423401510332
71350234504410
oct235750260660
960643822252
1021200200112
118a99a62143
124137aa23a8
131ccb23c210
141051868640
158412e5b92
hex4efa161b0

21200200112 has 80 divisors (see below), whose sum is σ = 50735211072. Its totient is φ = 8356884480.

The previous prime is 21200200111. The next prime is 21200200139. The reversal of 21200200112 is 21100200212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21200200093 and 21200200102.

It is not an unprimeable number, because it can be changed into a prime (21200200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383228 + ... + 435044.

Almost surely, 221200200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367605536).

21200200112 is an abundant number, since it is smaller than the sum of its proper divisors (29535010960).

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

21200200112 is a wasteful number, since it uses less digits than its factorization.

21200200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52126 (or 52120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200200112 its reverse (21100200212), we get a palindrome (42300400324).

The spelling of 21200200112 in words is "twenty-one billion, two hundred million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 281 364 562 728 1124 1456 1967 2248 3653 3934 4496 7306 7868 14612 15736 25571 29224 31472 51142 51817 58448 102284 103634 204568 207268 362719 409136 414536 673621 725438 829072 1347242 1450876 2694484 2901752 4715347 5388968 5803504 9430694 10777936 14560577 18861388 29121154 37722776 58242308 75445552 101924039 116484616 189287501 203848078 232969232 378575002 407696156 757150004 815392312 1325012507 1514300008 1630784624 2650025014 3028600016 5300050028 10600100056 21200200112