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11252266225211 = 111953838594379
BaseRepresentation
bin1010001110111101111101…
…0101001100111000111011
31110211201001210001200222202
42203233133111030320323
52433324120123201321
635533115244140415
72240643434544554
oct243573725147073
943751053050882
1011252266225211
113649071a35760
12131892123770b
13638112b60bbb
142ac880d4332b
15147a6d42270b
hexa3bdf54ce3b

11252266225211 has 8 divisors (see below), whose sum is σ = 12921262651200. Its totient is φ = 9690946988040.

The previous prime is 11252266225163. The next prime is 11252266225223.

11252266225211 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11252266225211 - 222 = 11252262030907 is a prime.

It is a super-3 number, since 3×112522662252113 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11252266225231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26919296981 + ... + 26919297398.

It is an arithmetic number, because the mean of its divisors is an integer number (1615157831400).

Almost surely, 211252266225211 is an apocalyptic number.

11252266225211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11252266225211 is a deficient number, since it is larger than the sum of its proper divisors (1668996425989).

11252266225211 is a wasteful number, since it uses less digits than its factorization.

11252266225211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53838594409.

The product of its digits is 57600, while the sum is 38.

The spelling of 11252266225211 in words is "eleven trillion, two hundred fifty-two billion, two hundred sixty-six million, two hundred twenty-five thousand, two hundred eleven".

Divisors: 1 11 19 209 53838594379 592224538169 1022933293201 11252266225211