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21221311200 = 253528842213
BaseRepresentation
bin10011110000111000…
…111000001011100000
32000202221122022020220
4103300320320023200
5321430123424300
613425434203040
71350612111645
oct236070701340
960687568226
1021221311200
118aaa971221
124142b83480
13200272129b
1410545a1dcc
158430b5da0
hex4f0e382e0

21221311200 has 72 divisors (see below), whose sum is σ = 69075375768. Its totient is φ = 5659015680.

The previous prime is 21221311171. The next prime is 21221311201. The reversal of 21221311200 is 211312212.

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 21221311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4418707 + ... + 4423506.

It is an arithmetic number, because the mean of its divisors is an integer number (959380219).

Almost surely, 221221311200 is an apocalyptic number.

21221311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221311200 is an abundant number, since it is smaller than the sum of its proper divisors (47854064568).

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

21221311200 is a wasteful number, since it uses less digits than its factorization.

21221311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842236 (or 8842223 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21221311200 its reverse (211312212), we get a palindrome (21432623412).

The spelling of 21221311200 in words is "twenty-one billion, two hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8842213 17684426 26526639 35368852 44211065 53053278 70737704 88422130 106106556 132633195 141475408 176844260 212213112 221055325 265266390 282950816 353688520 424426224 442110650 530532780 663165975 707377040 848852448 884221300 1061065560 1326331950 1414754080 1768442600 2122131120 2652663900 3536885200 4244262240 5305327800 7073770400 10610655600 21221311200