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21121020200 = 2352715599677
BaseRepresentation
bin10011101010111010…
…010011000100101000
32000111221220222212102
4103222322103010220
5321223440121300
613411452432532
71345253465240
oct235272230450
960457828772
1021121020200
118a592a10a5
124115478748
131cb7a081b7
141045136b20
158393a50d5
hex4eae93128

21121020200 has 96 divisors (see below), whose sum is σ = 56163369600. Its totient is φ = 7236099840.

The previous prime is 21121020181. The next prime is 21121020203. The reversal of 21121020200 is 202012112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21121020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2177762 + ... + 2187438.

It is an arithmetic number, because the mean of its divisors is an integer number (585035100).

Almost surely, 221121020200 is an apocalyptic number.

21121020200 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 21121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081684800).

21121020200 is an abundant number, since it is smaller than the sum of its proper divisors (35042349400).

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

21121020200 is a wasteful number, since it uses less digits than its factorization.

21121020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11259 (or 11250 counting only the distinct ones).

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

Adding to 21121020200 its reverse (202012112), we get a palindrome (21323032312).

The spelling of 21121020200 in words is "twenty-one billion, one hundred twenty-one million, twenty 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 1559 3118 6236 7795 9677 10913 12472 15590 19354 21826 31180 38708 38975 43652 48385 54565 62360 67739 77416 77950 87304 96770 109130 135478 155900 193540 218260 241925 270956 272825 311800 338695 387080 436520 483850 541912 545650 677390 967700 1091300 1354780 1693475 1935400 2182600 2709560 3386950 6773900 13547800 15086443 30172886 60345772 75432215 105605101 120691544 150864430 211210202 301728860 377161075 422420404 528025505 603457720 754322150 844840808 1056051010 1508644300 2112102020 2640127525 3017288600 4224204040 5280255050 10560510100 21121020200