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211212343212112 = 241121031059196939
BaseRepresentation
bin110000000001100010110100…
…101100000111100001010000
31000200211200222100111120020101
4300001202310230013201100
5210141000334330241422
62025113335545022144
762326405522155244
oct6001426454074120
91020750870446211
10211212343212112
11613317194a3400
121b83244a484954
1390b1313cb42b8
143a22a366ba424
1519641b7635c27
hexc018b4b07850

211212343212112 has 60 divisors (see below), whose sum is σ = 454175174296480. Its totient is φ = 95073517154880.

The previous prime is 211212343212043. The next prime is 211212343212119.

211212343212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112123432121122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212343212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529399062 + ... + 529797877.

Almost surely, 2211212343212112 is an apocalyptic number.

211212343212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211212343212112 is an abundant number, since it is smaller than the sum of its proper divisors (242962831084368).

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

211212343212112 is a wasteful number, since it uses less digits than its factorization.

211212343212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059197072 (or 1059197055 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The spelling of 211212343212112 in words is "two hundred eleven trillion, two hundred twelve billion, three hundred forty-three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 824 968 1133 1648 1936 2266 4532 9064 12463 18128 24926 49852 99704 199408 1059196939 2118393878 4236787756 8473575512 11651166329 16947151024 23302332658 46604665316 93209330632 109097284717 128162829619 186418661264 218194569434 256325659238 436389138868 512651318476 872778277736 1025302636952 1200070131887 1745556555472 2050605273904 2400140263774 4800280527548 9600561055096 13200771450757 19201122110192 26401542901514 52803085803028 105606171606056 211212343212112