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21212110000020 = 2235701504329767
BaseRepresentation
bin1001101001010110101000…
…10010000000111110010100
32210002212011102021100122110
410310223110102000332110
510240014400130000040
6113040413034031020
74316344601023302
oct464532422007624
983085142240573
1021212110000020
116839007107405
122467070878470
13bab3a7768614
14534958c39272
1526bb97cbe980
hex134ad4480f94

21212110000020 has 48 divisors (see below), whose sum is σ = 59478635518848. Its totient is φ = 5648493379200.

The previous prime is 21212109999991. The next prime is 21212110000021. The reversal of 21212110000020 is 2000001121212.

It is a super-3 number, since 3×212121100000203 (a number of 41 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 21212109999960 and 21212110000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212110000021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 252122824 + ... + 252206943.

It is an arithmetic number, because the mean of its divisors is an integer number (1239138239976).

Almost surely, 221212110000020 is an apocalyptic number.

21212110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212110000020 is an abundant number, since it is smaller than the sum of its proper divisors (38266525518828).

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

21212110000020 is a wasteful number, since it uses less digits than its factorization.

21212110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504330480 (or 504330478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21212110000020 its reverse (2000001121212), we get a palindrome (23212111121232).

The spelling of 21212110000020 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 701 1402 2103 2804 3505 4206 7010 8412 10515 14020 21030 42060 504329767 1008659534 1512989301 2017319068 2521648835 3025978602 5043297670 6051957204 7564946505 10086595340 15129893010 30259786020 353535166667 707070333334 1060605500001 1414140666668 1767675833335 2121211000002 3535351666670 4242422000004 5303027500005 7070703333340 10606055000010 21212110000020