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21212212200 = 2335297364471
BaseRepresentation
bin10011110000010110…
…001010101111101000
32000202022112000202220
4103300112022233220
5321420311242300
613424511154040
71350441554154
oct236026125750
960668460686
1021212212200
118aa5816a93
12413bb15920
13200088686a
1410532b4064
158423b9da0
hex4f058abe8

21212212200 has 96 divisors (see below), whose sum is σ = 66435956160. Its totient is φ = 5598259200.

The previous prime is 21212212193. The next prime is 21212212201. The reversal of 21212212200 is 221221212.

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 21212212200.

It is not an unprimeable number, because it can be changed into a prime (21212212201) by changing a digit.

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, 124036 + ... + 240435.

It is an arithmetic number, because the mean of its divisors is an integer number (692041210).

Almost surely, 221212212200 is an apocalyptic number.

21212212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212212200 is an abundant number, since it is smaller than the sum of its proper divisors (45223743960).

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

21212212200 is a wasteful number, since it uses less digits than its factorization.

21212212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364587 (or 364578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21212212200 its reverse (221221212), we get a palindrome (21433433412).

The spelling of 21212212200 in words is "twenty-one billion, two hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3880 4850 5820 7275 9700 11640 14550 19400 29100 58200 364471 728942 1093413 1457884 1822355 2186826 2915768 3644710 4373652 5467065 7289420 8747304 9111775 10934130 14578840 18223550 21868260 27335325 35353687 36447100 43736520 54670650 70707374 72894200 106061061 109341300 141414748 176768435 212122122 218682600 282829496 353536870 424244244 530305305 707073740 848488488 883842175 1060610610 1414147480 1767684350 2121221220 2651526525 3535368700 4242442440 5303053050 7070737400 10606106100 21212212200