Search a number
-
+
212331202110 = 232529187143481
BaseRepresentation
bin1100010110111111101…
…1010000011000111110
3202022001201121122201200
43011233323100120332
511434323241431420
6241313230320330
721224523303366
oct3055773203076
9668051548650
10212331202110
118205a478925
12351993590a6
131703ac87981
14a3c3ab59a6
1557cad18b90
hex316fed063e

212331202110 has 96 divisors (see below), whose sum is σ = 571416094080. Its totient is φ = 54638707200.

The previous prime is 212331202079. The next prime is 212331202133. The reversal of 212331202110 is 11202133212.

212331202110 is a `hidden beast` number, since 21 + 2 + 331 + 202 + 110 = 666.

It is a super-3 number, since 3×2123312021103 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4861570 + ... + 4905050.

It is an arithmetic number, because the mean of its divisors is an integer number (5952250980).

Almost surely, 2212331202110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285708047040).

212331202110 is an abundant number, since it is smaller than the sum of its proper divisors (359084891970).

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

212331202110 is a wasteful number, since it uses less digits than its factorization.

212331202110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45394 (or 45391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212331202110 its reverse (11202133212), we get a palindrome (223533335322).

The spelling of 212331202110 in words is "two hundred twelve billion, three hundred thirty-one million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1871 2610 3742 5613 9355 11226 16839 18710 28065 33678 43481 54259 56130 84195 86962 108518 130443 162777 168390 217405 260886 271295 325554 391329 434810 488331 542590 652215 782658 813885 976662 1260949 1304430 1627770 1956645 2441655 2521898 3782847 3913290 4883310 6304745 7565694 11348541 12609490 18914235 22697082 37828470 56742705 81352951 113485410 162705902 244058853 406764755 488117706 732176559 813529510 1220294265 1464353118 2359235579 2440588530 3660882795 4718471158 7077706737 7321765590 11796177895 14155413474 21233120211 23592355790 35388533685 42466240422 70777067370 106165601055 212331202110