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211141054056 = 23325667342757
BaseRepresentation
bin1100010010100011111…
…1001100111001101000
3202011222210010212112010
43010220333030321220
511424404102212211
6240555153315520
721153162230112
oct3045077147150
9664883125463
10211141054056
11815a9690a99
1234b06865ba0
1316bab53285a
14a30d9cc3b2
15575b5c74a6
hex3128fcce68

211141054056 has 32 divisors (see below), whose sum is σ = 527874740640. Its totient is φ = 70377403968.

The previous prime is 211141054037. The next prime is 211141054057. The reversal of 211141054056 is 650450141112.

211141054056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2111410540562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211141054057) 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 7 ways as a sum of consecutive naturals, for example, 444630 + ... + 787386.

It is an arithmetic number, because the mean of its divisors is an integer number (16496085645).

Almost surely, 2211141054056 is an apocalyptic number.

It is an amenable number.

211141054056 is an abundant number, since it is smaller than the sum of its proper divisors (316733686584).

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

211141054056 is a wasteful number, since it uses less digits than its factorization.

211141054056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368433 (or 368429 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 211141054056 its reverse (650450141112), we get a palindrome (861591195168).

The spelling of 211141054056 in words is "two hundred eleven billion, one hundred forty-one million, fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 25667 51334 77001 102668 154002 205336 308004 342757 616008 685514 1028271 1371028 2056542 2742056 4113084 8226168 8797543919 17595087838 26392631757 35190175676 52785263514 70380351352 105570527028 211141054056