Search a number
-
+
212033023131000 = 2335370677674377
BaseRepresentation
bin110000001101011111001001…
…000001100011110101111000
31000210202011021221120000211210
4300031133021001203311320
5210242422112410143000
62030542343123523120
762442610655321061
oct6015371101436570
91023664257500753
10212033023131000
1161618777960255
121b9455065294a0
139140822466666
143a5064b355568
15197a6eb1eb350
hexc0d7c9063d78

212033023131000 has 64 divisors (see below), whose sum is σ = 661543032178080. Its totient is φ = 56542139500800.

The previous prime is 212033023130993. The next prime is 212033023131143. The reversal of 212033023131000 is 131320330212.

It is a super-2 number, since 2×2120330231310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 35338834189 + ... + 35338840188.

Almost surely, 2212033023131000 is an apocalyptic number.

212033023131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033023131000 is an abundant number, since it is smaller than the sum of its proper divisors (449510009047080).

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

212033023131000 is a wasteful number, since it uses less digits than its factorization.

212033023131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70677674401 (or 70677674387 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212033023131000 its reverse (131320330212), we get a palindrome (212164343461212).

The spelling of 212033023131000 in words is "two hundred twelve trillion, thirty-three billion, twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 70677674377 141355348754 212033023131 282710697508 353388371885 424066046262 565421395016 706776743770 848132092524 1060165115655 1413553487540 1696264185048 1766941859425 2120330231310 2827106975080 3533883718850 4240660462620 5300825578275 7067767437700 8481320925240 8834709297125 10601651156550 14135534875400 17669418594250 21203302313100 26504127891375 35338837188500 42406604626200 53008255782750 70677674377000 106016511565500 212033023131000