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21212210010120 = 23352372307106291
BaseRepresentation
bin1001101001010110110100…
…01111100001100000001000
32210002212102101110101201020
410310223122033201200020
510240020101230310440
6113040431005352440
74316350224060033
oct464533217414010
983085371411636
1021212210010120
116839058605488
12246709a268720
13bab3c23b38ac
1453496823001a
1526bba19773d0
hex134ada3e1808

21212210010120 has 128 divisors (see below), whose sum is σ = 66404983127040. Its totient is φ = 5410524936960.

The previous prime is 21212210010109. The next prime is 21212210010151. The reversal of 21212210010120 is 2101001221212.

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 21212210010120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199514175 + ... + 199620465.

It is an arithmetic number, because the mean of its divisors is an integer number (518788930680).

Almost surely, 221212210010120 is an apocalyptic number.

21212210010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212210010120 is an abundant number, since it is smaller than the sum of its proper divisors (45192773116920).

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

21212210010120 is a wasteful number, since it uses less digits than its factorization.

21212210010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178635 (or 178631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21212210010120 its reverse (2101001221212), we get a palindrome (23313211231332).

The spelling of 21212210010120 in words is "twenty-one trillion, two hundred twelve billion, two hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 72307 106291 144614 212582 216921 289228 318873 361535 425164 433842 531455 578456 637746 723070 850328 867684 1062910 1084605 1275492 1446140 1594365 1663061 1735368 2125820 2169210 2444693 2550984 2892280 3188730 3326122 4251640 4338420 4889386 4989183 6377460 6652244 7334079 8315305 8676840 9778772 9978366 12223465 12754920 13304488 14668158 16630610 19557544 19956732 24446930 24945915 29336316 33261220 36670395 39913464 48893860 49891830 58672632 66522440 73340790 97787720 99783660 146681580 199567320 293363160 7685583337 15371166674 23056750011 30742333348 38427916685 46113500022 61484666696 76855833370 92227000044 115283750055 153711666740 176768416751 184454000088 230567500110 307423333480 353536833502 461135000220 530305250253 707073667004 883842083755 922270000440 1060610500506 1414147334008 1767684167510 2121221001012 2651526251265 3535368335020 4242442002024 5303052502530 7070736670040 10606105005060 21212210010120