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212333202312 = 233711241476759
BaseRepresentation
bin1100010111000000001…
…0111000101110001000
3202022001212101021111020
43011300002320232020
511434324244433222
6241313341232440
721224546304030
oct3056002705610
9668055337436
10212333202312
1182060614690
1235199b62720
131703b50821a
14a3c40768c0
1557cb0b165c
hex31700b8b88

212333202312 has 128 divisors (see below), whose sum is σ = 664565299200. Its totient is φ = 54922521600.

The previous prime is 212333202311. The next prime is 212333202461. The reversal of 212333202312 is 213202333212.

212333202312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212333202311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206989 + ... + 683747.

It is an arithmetic number, because the mean of its divisors is an integer number (5191916400).

Almost surely, 2212333202312 is an apocalyptic number.

212333202312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212333202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332282649600).

212333202312 is an abundant number, since it is smaller than the sum of its proper divisors (452232096888).

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

212333202312 is a wasteful number, since it uses less digits than its factorization.

212333202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477027 (or 477023 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212333202312 its reverse (213202333212), we get a palindrome (425535535524).

The spelling of 212333202312 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 241 264 308 462 482 616 723 924 964 1446 1687 1848 1928 2651 2892 3374 5061 5302 5784 6748 7953 10122 10604 13496 15906 18557 20244 21208 31812 37114 40488 55671 63624 74228 111342 148456 222684 445368 476759 953518 1430277 1907036 2860554 3337313 3814072 5244349 5721108 6674626 10011939 10488698 11442216 13349252 15733047 20023878 20977396 26698504 31466094 36710443 40047756 41954792 62932188 73420886 80095512 110131329 114898919 125864376 146841772 220262658 229797838 293683544 344696757 440525316 459595676 689393514 804292433 881050632 919191352 1263888109 1378787028 1608584866 2412877299 2527776218 2757574056 3217169732 3791664327 4825754598 5055552436 6434339464 7583328654 8847216763 9651509196 10111104872 15166657308 17694433526 19303018392 26541650289 30333314616 35388867052 53083300578 70777734104 106166601156 212333202312