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211043101340112 = 24353670112379823
BaseRepresentation
bin101111111111000101001101…
…000101100111000111010000
31000200020112010121001200012220
4233333011031011213013100
5210130212232420340422
62024503510132221040
762311234535040636
oct5777051505470720
91020215117050186
10211043101340112
1161276970907aa8
121b80569776a780
13909b38213c482
143a1877d5cd356
15195eaae640e5c
hexbff14d1671d0

211043101340112 has 80 divisors (see below), whose sum is σ = 555564310679808. Its totient is φ = 69010079756800.

The previous prime is 211043101340077. The next prime is 211043101340131.

211043101340112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10857433 + ... + 23237255.

Almost surely, 2211043101340112 is an apocalyptic number.

It is an amenable number.

211043101340112 is an abundant number, since it is smaller than the sum of its proper divisors (344521209339696).

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

211043101340112 is a wasteful number, since it uses less digits than its factorization.

211043101340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12386588 (or 12386582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21104310 and 1340112, that added together give a palindrome (22444422).

The spelling of 211043101340112 in words is "two hundred eleven trillion, forty-three billion, one hundred one million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 6701 13402 20103 26804 40206 53608 80412 107216 160824 321648 355153 710306 1065459 1420612 2130918 2841224 4261836 5682448 8523672 12379823 17047344 24759646 37139469 49519292 74278938 99038584 148557876 198077168 297115752 594231504 656130619 1312261238 1968391857 2624522476 3936783714 5249044952 7873567428 10498089904 15747134856 31494269712 82957193923 165914387846 248871581769 331828775692 497743163538 663657551384 995486327076 1327315102768 1990972654152 3981945308304 4396731277919 8793462555838 13190193833757 17586925111676 26380387667514 35173850223352 52760775335028 70347700446704 105521550670056 211043101340112