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21201212200 = 2352726533313
BaseRepresentation
bin10011101111101100…
…001101001100101000
32000201112211011121111
4103233230031030220
5321410002242300
613423435320104
71350246221200
oct235754151450
960645734544
1021201212200
118a9a593583
1241382b0034
131ccb504a9c
141051a4d400
158414459ba
hex4efb0d328

21201212200 has 144 divisors (see below), whose sum is σ = 57445770780. Its totient is φ = 7255664640.

The previous prime is 21201212171. The next prime is 21201212209. The reversal of 21201212200 is 221210212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9972419044 + 11228793156 = 99862^2 + 105966^2 .

It is not an unprimeable number, because it can be changed into a prime (21201212209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6397744 + ... + 6401056.

Almost surely, 221201212200 is an apocalyptic number.

21201212200 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 21201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28722885390).

21201212200 is an abundant number, since it is smaller than the sum of its proper divisors (36244558580).

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

21201212200 is a wasteful number, since it uses less digits than its factorization.

21201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21201212200 its reverse (221210212), we get a palindrome (21422422412).

The spelling of 21201212200 in words is "twenty-one billion, two hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 653 700 980 1225 1306 1400 1960 2450 2612 3265 3313 4571 4900 5224 6530 6626 9142 9800 13060 13252 16325 16565 18284 22855 23191 26120 26504 31997 32650 33130 36568 45710 46382 63994 65300 66260 82825 91420 92764 114275 115955 127988 130600 132520 159985 162337 165650 182840 185528 228550 231910 255976 319970 324674 331300 457100 463820 579775 639940 649348 662600 799925 811685 914200 927640 1159550 1279880 1298696 1599850 1623370 2163389 2319100 3199700 3246740 4058425 4326778 4638200 6399400 6493480 8116850 8653556 10816945 15143723 16233700 17307112 21633890 30287446 32467400 43267780 54084725 60574892 75718615 86535560 106006061 108169450 121149784 151437230 212012122 216338900 302874460 378593075 424024244 432677800 530030305 605748920 757186150 848048488 1060060610 1514372300 2120121220 2650151525 3028744600 4240242440 5300303050 10600606100 21201212200