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211432242234112 = 282712113045257
BaseRepresentation
bin110000000100101111100111…
…101100010100001100000000
31000201121201120111022022012121
4300010233213230110030000
5210203101213002442422
62025402344200134024
762351322031051534
oct6004574754241400
91021551514268177
10211432242234112
1161406a01794329
121b868b9a167314
1390c8c89ab43b3
143a2d5374b9bc4
151969c87a2b8c7
hexc04be7b14300

211432242234112 has 36 divisors (see below), whose sum is σ = 422040271987656. Its totient is φ = 105715696609280.

The previous prime is 211432242234043. The next prime is 211432242234131.

It is a happy number.

211432242234112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2114322422341122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 67907388 + ... + 70952644.

It is an arithmetic number, because the mean of its divisors is an integer number (11723340888546).

Almost surely, 2211432242234112 is an apocalyptic number.

It is an amenable number.

211432242234112 is a deficient number, since it is larger than the sum of its proper divisors (210608029753544).

211432242234112 is an equidigital number, since it uses as much as digits as its factorization.

211432242234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316484 (or 3316470 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 211432242234112 in words is "two hundred eleven trillion, four hundred thirty-two billion, two hundred forty-two million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 271211 542422 1084844 2169688 3045257 4339376 6090514 8678752 12181028 17357504 24362056 34715008 48724112 69430016 97448224 194896448 389792896 779585792 825907196227 1651814392454 3303628784908 6607257569816 13214515139632 26429030279264 52858060558528 105716121117056 211432242234112