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21121330200 = 2335235202217
BaseRepresentation
bin10011101010111011…
…011110110000011000
32000111222111202002220
4103222323132300120
5321224030031300
613411503224040
71345256226105
oct235273366030
960458452086
1021121330200
118a59492aa3
1241155a8020
131cb7ab6329
1410451b7aac
15839416da0
hex4eaedec18

21121330200 has 48 divisors (see below), whose sum is σ = 65476125480. Its totient is φ = 5632354560.

The previous prime is 21121330193. The next prime is 21121330211. The reversal of 21121330200 is 203312112.

It is a super-2 number, since 2×211213302002 (a number of 21 digits) contains 22 as substring.

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 21121330200.

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 11 ways as a sum of consecutive naturals, for example, 17600509 + ... + 17601708.

Almost surely, 221121330200 is an apocalyptic number.

21121330200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121330200 is an abundant number, since it is smaller than the sum of its proper divisors (44354795280).

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

21121330200 is a wasteful number, since it uses less digits than its factorization.

21121330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35202236 (or 35202227 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21121330200 its reverse (203312112), we get a palindrome (21324642312).

The spelling of 21121330200 in words is "twenty-one billion, one hundred twenty-one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 35202217 70404434 105606651 140808868 176011085 211213302 281617736 352022170 422426604 528033255 704044340 844853208 880055425 1056066510 1408088680 1760110850 2112133020 2640166275 3520221700 4224266040 5280332550 7040443400 10560665100 21121330200