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211235424532112 = 24278932089147517
BaseRepresentation
bin110000000001111000010100…
…011100010111011010010000
31000200220220112221002002220002
4300001320110130113122100
5210141340122140011422
62025132114145505132
762331153511146341
oct6001702434273220
91020826487062802
10211235424532112
1161340493285782
121b836a103421a8
1390b3551b765b6
143a23bc5cd60c8
151964ab8b5a692
hexc01e14717690

211235424532112 has 40 divisors (see below), whose sum is σ = 409430913103800. Its totient is φ = 105575836972032.

The previous prime is 211235424532051. The next prime is 211235424532211.

211235424532112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2573470473616 + 208661954058496 = 1604204^2 + 14445136^2 .

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 7 ways as a sum of consecutive naturals, for example, 1431865778 + ... + 1432013294.

It is an arithmetic number, because the mean of its divisors is an integer number (10235772827595).

Almost surely, 2211235424532112 is an apocalyptic number.

It is an amenable number.

211235424532112 is a deficient number, since it is larger than the sum of its proper divisors (198195488571688).

211235424532112 is a wasteful number, since it uses less digits than its factorization.

211235424532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182403 (or 182397 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The spelling of 211235424532112 in words is "two hundred eleven trillion, two hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 2789 5578 11156 22312 32089 44624 64178 128356 147517 256712 295034 513424 590068 1180136 2360272 89496221 178992442 357984884 411424913 715969768 822849826 1431939536 1645699652 3291399304 4733673013 6582798608 9467346026 18934692052 37869384104 75738768208 13202214033257 26404428066514 52808856133028 105617712266056 211235424532112