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21212110000 = 24543476113
BaseRepresentation
bin10011110000010101…
…110001110010110000
32000202022022211120201
4103300111301302300
5321420300010000
613424505044544
71350440650204
oct236025616260
960668284521
1021212110000
118aa5757224
12413ba86754
13200084c1a3
141053288b04
1584239996a
hex4f0571cb0

21212110000 has 100 divisors (see below), whose sum is σ = 51513066792. Its totient is φ = 8459008000.

The previous prime is 21212109967. The next prime is 21212110013. The reversal of 21212110000 is 1121212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×212121100003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3466944 + ... + 3473056.

Almost surely, 221212110000 is an apocalyptic number.

21212110000 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 21212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756533396).

21212110000 is an abundant number, since it is smaller than the sum of its proper divisors (30300956792).

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

21212110000 is an equidigital number, since it uses as much as digits as its factorization.

21212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21212110000 its reverse (1121212), we get a palindrome (21213231212).

The spelling of 21212110000 in words is "twenty-one billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 347 400 500 625 694 1000 1250 1388 1735 2000 2500 2776 3470 5000 5552 6113 6940 8675 10000 12226 13880 17350 24452 27760 30565 34700 43375 48904 61130 69400 86750 97808 122260 138800 152825 173500 216875 244520 305650 347000 433750 489040 611300 694000 764125 867500 1222600 1528250 1735000 2121211 2445200 3056500 3470000 3820625 4242422 6113000 7641250 8484844 10606055 12226000 15282500 16969688 21212110 30565000 33939376 42424220 53030275 61130000 84848440 106060550 169696880 212121100 265151375 424242200 530302750 848484400 1060605500 1325756875 2121211000 2651513750 4242422000 5303027500 10606055000 21212110000