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21212211300 = 22352742123993
BaseRepresentation
bin10011110000010110…
…001010100001100100
32000202022111222112120
4103300112022201210
5321420311230200
613424511145540
71350441551430
oct236026124144
960668458476
1021212211300
118aa5816345
12413bb152b0
132000886327
1410532b39c0
158423b99a0
hex4f058a864

21212211300 has 144 divisors (see below), whose sum is σ = 70311249792. Its totient is φ = 4836787200.

The previous prime is 21212211299. The next prime is 21212211331. The reversal of 21212211300 is 311221212.

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 21212211300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872104 + ... + 896096.

It is an arithmetic number, because the mean of its divisors is an integer number (488272568).

Almost surely, 221212211300 is an apocalyptic number.

21212211300 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 21212211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35155624896).

21212211300 is an abundant number, since it is smaller than the sum of its proper divisors (49099038492).

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

21212211300 is a wasteful number, since it uses less digits than its factorization.

21212211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24438 (or 24431 counting only the distinct ones).

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

Adding to 21212211300 its reverse (311221212), we get a palindrome (21523432512).

The spelling of 21212211300 in words is "twenty-one billion, two hundred twelve million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 421 525 700 842 1050 1263 1684 2100 2105 2526 2947 4210 5052 5894 6315 8420 8841 10525 11788 12630 14735 17682 21050 23993 25260 29470 31575 35364 42100 44205 47986 58940 63150 71979 73675 88410 95972 119965 126300 143958 147350 167951 176820 221025 239930 287916 294700 335902 359895 442050 479860 503853 599825 671804 719790 839755 884100 1007706 1199650 1439580 1679510 1799475 2015412 2399300 2519265 3359020 3598950 4198775 5038530 7197900 8397550 10077060 10101053 12596325 16795100 20202106 25192650 30303159 40404212 50385300 50505265 60606318 70707371 101010530 121212636 141414742 151515795 202021060 212122113 252526325 282829484 303031590 353536855 424244226 505052650 606063180 707073710 757578975 848488452 1010105300 1060610565 1414147420 1515157950 1767684275 2121221130 3030315900 3535368550 4242442260 5303052825 7070737100 10606105650 21212211300