Search a number
-
+
21212002021200 = 2435279063223577
BaseRepresentation
bin1001101001010110011011…
…10110000110111101010000
32210002211212220002110112220
410310223031312012331100
510240014140004134300
6113040354215421040
74316342120150244
oct464531566067520
983084786073486
1021212002021200
116838a61166311
122467040684780
13bab38b290223
1453494876c424
1526bb8d590da0
hex134acdd86f50

21212002021200 has 120 divisors (see below), whose sum is σ = 67950276493248. Its totient is φ = 5656437027840.

The previous prime is 21212002021139. The next prime is 21212002021207. The reversal of 21212002021200 is 212020021212.

It is a tau number, because it is divible by the number of its divisors (120).

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 21212002021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212002021207) 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 23 ways as a sum of consecutive naturals, for example, 94763812 + ... + 94987388.

Almost surely, 221212002021200 is an apocalyptic number.

21212002021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212002021200 is an abundant number, since it is smaller than the sum of its proper divisors (46738274472048).

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

21212002021200 is a wasteful number, since it uses less digits than its factorization.

21212002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302661 (or 302650 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21212002021200 its reverse (212020021212), we get a palindrome (21424022042412).

The spelling of 21212002021200 in words is "twenty-one trillion, two hundred twelve billion, two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 79063 158126 223577 237189 316252 395315 447154 474378 632504 670731 790630 894308 948756 1117885 1185945 1265008 1341462 1581260 1788616 1897512 1976575 2235770 2371890 2682924 3162520 3353655 3577232 3795024 3953150 4471540 4743780 5365848 5589425 5929725 6325040 6707310 7906300 8943080 9487560 10731696 11178850 11859450 13414620 15812600 16768275 17886160 18975120 22357700 23718900 26829240 31625200 33536550 44715400 47437800 53658480 67073100 89430800 94875600 134146200 268292400 17676668351 35353336702 53030005053 70706673404 88383341755 106060010106 141413346808 176766683510 212120020212 265150025265 282826693616 353533367020 424240040424 441916708775 530300050530 707066734040 848480080848 883833417550 1060600101060 1325750126325 1414133468080 1767666835100 2121200202120 2651500252650 3535333670200 4242400404240 5303000505300 7070667340400 10606001010600 21212002021200