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21212002111000 = 235322819299431
BaseRepresentation
bin1001101001010110011011…
…10110011100111000011000
32210002211212220021000201211
410310223031312130320120
510240014140020023000
6113040354221352504
74316342121003121
oct464531566347030
983084786230654
1021212002111000
116838a61217828
122467040708734
13bab38b2c206c
14534948793048
1526bb8d5ac7ba
hex134acdd9ce18

21212002111000 has 64 divisors (see below), whose sum is σ = 49657850948160. Its totient is φ = 8481080160000.

The previous prime is 21212002110983. The next prime is 21212002111007. The reversal of 21212002111000 is 11120021212.

21212002111000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212002111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2368716 + ... + 6930715.

It is an arithmetic number, because the mean of its divisors is an integer number (775903921065).

Almost surely, 221212002111000 is an apocalyptic number.

21212002111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212002111000 is an abundant number, since it is smaller than the sum of its proper divisors (28445848837160).

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

21212002111000 is a wasteful number, since it uses less digits than its factorization.

21212002111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301733 (or 9301719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21212002111000 its reverse (11120021212), we get a palindrome (21223122132212).

The spelling of 21212002111000 in words is "twenty-one trillion, two hundred twelve billion, two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2281 4562 9124 11405 18248 22810 45620 57025 91240 114050 228100 285125 456200 570250 1140500 2281000 9299431 18598862 37197724 46497155 74395448 92994310 185988620 232485775 371977240 464971550 929943100 1162428875 1859886200 2324857750 4649715500 9299431000 21212002111 42424004222 84848008444 106060010555 169696016888 212120021110 424240042220 530300052775 848480084440 1060600105550 2121200211100 2651500263875 4242400422200 5303000527750 10606001055500 21212002111000