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11013033249 = 32349812
BaseRepresentation
bin10100100000110110…
…11000110100100001
31001102111222001111100
422100123120310201
5140023314030444
65020451305013
7536625144441
oct122033306441
931374861440
1011013033249
11474162a979
1221742ab169
13106683ba2a
14766904121
15446cb5e69
hex2906d8d21

11013033249 has 9 divisors (see below), whose sum is σ = 15908169459. Its totient is φ = 7341812280.

The previous prime is 11013033131. The next prime is 11013033253. The reversal of 11013033249 is 94233031011.

The square root of 11013033249 is 104943.

It is a perfect power (a square), and thus also a powerful number.

11013033249 is a `hidden beast` number, since 110 + 1 + 303 + 3 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6210543249 + 4802490000 = 78807^2 + 69300^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11013033249 - 225 = 10979478817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11013033299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 297339 + ... + 332319.

Almost surely, 211013033249 is an apocalyptic number.

11013033249 is the 104943-rd square number.

11013033249 is the 52472-nd centered octagonal number.

It is an amenable number.

11013033249 is a deficient number, since it is larger than the sum of its proper divisors (4895136210).

11013033249 is an frugal number, since it uses more digits than its factorization.

11013033249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69968 (or 34984 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11013033249 in words is "eleven billion, thirteen million, thirty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 34981 104943 314829 1223670361 3671011083 11013033249