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21220210212120 = 2333519648342789
BaseRepresentation
bin1001101001100101101110…
…00101110111110100011000
32210010122001221020202201000
410310302313011313310120
510240132442303241440
6113044232513425000
74320052406501103
oct464626705676430
983118057222630
1021220210212120
116841493500677
12246875156b160
13bac09899792a
145350c694b73a
1526bebdeb2730
hex134cb7177d18

21220210212120 has 64 divisors (see below), whose sum is σ = 70734034044000. Its totient is φ = 5658722722944.

The previous prime is 21220210212073. The next prime is 21220210212167. The reversal of 21220210212120 is 2121201202212.

It is a happy number.

21220210212120 is a `hidden beast` number, since 2 + 1 + 220 + 210 + 21 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21220210212073) and next prime (21220210212167).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220210212093 and 21220210212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9824170315 + ... + 9824172474.

Almost surely, 221220210212120 is an apocalyptic number.

21220210212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220210212120 is an abundant number, since it is smaller than the sum of its proper divisors (49513823831880).

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

21220210212120 is a wasteful number, since it uses less digits than its factorization.

21220210212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648342809 (or 19648342799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220210212120 its reverse (2121201202212), we get a palindrome (23341411414332).

The spelling of 21220210212120 in words is "twenty-one trillion, two hundred twenty billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 19648342789 39296685578 58945028367 78593371156 98241713945 117890056734 157186742312 176835085101 196483427890 235780113468 294725141835 353670170202 392966855780 471560226936 530505255303 589450283670 707340340404 785933711560 884175425505 1061010510606 1178900567340 1414680680808 1768350851010 2122021021212 2357801134680 2652526276515 3536701702020 4244042042424 5305052553030 7073403404040 10610105106060 21220210212120