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212322200112 = 243211433117251
BaseRepresentation
bin1100010110111101100…
…0111010101000110000
3202022001002200022022100
43011233120322220300
511434313440400422
6241312305340400
721224353631451
oct3055730725060
9668032608270
10212322200112
118205538a560
1235196337700
1317039155449
14a3c2811128
1557ca13b7ac
hex316f63aa30

212322200112 has 120 divisors (see below), whose sum is σ = 663301349568. Its totient is φ = 62843760000.

The previous prime is 212322200081. The next prime is 212322200113. The reversal of 212322200112 is 211002223212.

212322200112 is a `hidden beast` number, since 212 + 322 + 20 + 0 + 112 = 666.

212322200112 is digitally balanced in base 2, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (212322200113) 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 23 ways as a sum of consecutive naturals, for example, 1490514 + ... + 1626737.

Almost surely, 2212322200112 is an apocalyptic number.

212322200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212322200112 is an abundant number, since it is smaller than the sum of its proper divisors (450979149456).

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

212322200112 is a wasteful number, since it uses less digits than its factorization.

212322200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117319 (or 3117310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212322200112 its reverse (211002223212), we get a palindrome (423324423324).

The spelling of 212322200112 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 198 258 264 344 387 396 473 516 528 688 774 792 946 1032 1419 1548 1584 1892 2064 2838 3096 3784 4257 5676 6192 7568 8514 11352 17028 22704 34056 68112 3117251 6234502 9351753 12469004 18703506 24938008 28055259 34289761 37407012 49876016 56110518 68579522 74814024 102869283 112221036 134041793 137159044 149628048 205738566 224442072 268083586 274318088 308607849 402125379 411477132 448884144 536167172 548636176 617215698 804250758 822954264 1072334344 1206376137 1234431396 1474459723 1608501516 1645908528 2144668688 2412752274 2468862792 2948919446 3217003032 4423379169 4825504548 4937725584 5897838892 6434006064 8846758338 9651009096 11795677784 13270137507 17693516676 19302018192 23591355568 26540275014 35387033352 53080550028 70774066704 106161100056 212322200112