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11245254211 = 591572694513
BaseRepresentation
bin10100111100100010…
…01111011001000011
31002000200221002202201
422132101033121003
5141012241113321
65055504454031
7545445040462
oct123621173103
932020832681
1011245254211
11485071aa24
12221a01a317
1310a2997b99
147896b29d9
1545c387291
hex29e44f643

11245254211 has 16 divisors (see below), whose sum is σ = 11554034400. Its totient is φ = 10940986368.

The previous prime is 11245254161. The next prime is 11245254233.

11245254211 is nontrivially palindromic in base 10.

11245254211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11245254211 - 215 = 11245221443 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11245254211.

It is not an unprimeable number, because it can be changed into a prime (11245254271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489491 + ... + 2494003.

It is an arithmetic number, because the mean of its divisors is an integer number (722127150).

Almost surely, 211245254211 is an apocalyptic number.

11245254211 is a deficient number, since it is larger than the sum of its proper divisors (308780189).

11245254211 is a wasteful number, since it uses less digits than its factorization.

11245254211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998.

The product of its digits is 3200, while the sum is 28.

The spelling of 11245254211 in words is "eleven billion, two hundred forty-five million, two hundred fifty-four thousand, two hundred eleven".

Divisors: 1 59 157 269 4513 9263 15871 42233 266267 708541 1213997 2491747 41803919 71625823 190597529 11245254211