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212358853212 = 2231119227373007
BaseRepresentation
bin1100010111000110010…
…0101111001001011100
3202022010122122110220120
43011301210233021130
511434402331300322
6241320055114540
721225310320012
oct3056144571134
9668118573816
10212358853212
1182074044580
12351a6672a50
131704391977c
14a3c76328b2
1557cd47ba5c
hex317192f25c

212358853212 has 96 divisors (see below), whose sum is σ = 571507937280. Its totient is φ = 60695536320.

The previous prime is 212358853211. The next prime is 212358853249.

212358853212 is nontrivially palindromic in base 10.

212358853212 is digitally balanced in base 2, 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 (212358853211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382813 + ... + 755819.

It is an arithmetic number, because the mean of its divisors is an integer number (5953207680).

Almost surely, 2212358853212 is an apocalyptic number.

212358853212 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 212358853212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285753968640).

212358853212 is an abundant number, since it is smaller than the sum of its proper divisors (359149084068).

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

212358853212 is a wasteful number, since it uses less digits than its factorization.

212358853212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373271 (or 373269 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 212358853212 in words is "two hundred twelve billion, three hundred fifty-eight million, eight hundred fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 227 228 418 454 627 681 836 908 1254 1362 2497 2508 2724 4313 4994 7491 8626 9988 12939 14982 17252 25878 29964 47443 51756 94886 142329 189772 284658 373007 569316 746014 1119021 1492028 2238042 4103077 4476084 7087133 8206154 12309231 14174266 16412308 21261399 24618462 28348532 42522798 49236924 77958463 84672589 85045596 155916926 169345178 233875389 254017767 311833852 338690356 467750778 508035534 931398479 935501556 1016071068 1608779191 1862796958 2794195437 3217558382 3725593916 4826337573 5588390874 6435116764 9652675146 11176781748 17696571101 19305350292 35393142202 53089713303 70786284404 106179426606 212358853212