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21213022200 = 23352106933073
BaseRepresentation
bin10011110000011001…
…010000011111111000
32000202101001011212220
4103300121100133320
5321421013202300
613424540404040
71350451466526
oct236031203770
960671034786
1021213022200
118aa621a607
124140246620
132000aab456
141053445316
158424c9da0
hex4f06507f8

21213022200 has 96 divisors (see below), whose sum is σ = 65823874800. Its totient is φ = 5651343360.

The previous prime is 21213022189. The next prime is 21213022213. The reversal of 21213022200 is 222031212.

It is a happy number.

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 21213022200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 624864 + ... + 657936.

Almost surely, 221213022200 is an apocalyptic number.

21213022200 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 21213022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32911937400).

21213022200 is an abundant number, since it is smaller than the sum of its proper divisors (44610852600).

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

21213022200 is a wasteful number, since it uses less digits than its factorization.

21213022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34161 (or 34152 counting only the distinct ones).

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

Adding to 21213022200 its reverse (222031212), we get a palindrome (21435053412).

The spelling of 21213022200 in words is "twenty-one billion, two hundred thirteen million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1069 2138 3207 4276 5345 6414 8552 10690 12828 16035 21380 25656 26725 32070 33073 42760 53450 64140 66146 80175 99219 106900 128280 132292 160350 165365 198438 213800 264584 320700 330730 396876 496095 641400 661460 793752 826825 992190 1322920 1653650 1984380 2480475 3307300 3968760 4960950 6614600 9921900 19843800 35355037 70710074 106065111 141420148 176775185 212130222 282840296 353550370 424260444 530325555 707100740 848520888 883875925 1060651110 1414201480 1767751850 2121302220 2651627775 3535503700 4242604440 5303255550 7071007400 10606511100 21213022200