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11013132 = 22313227311
BaseRepresentation
bin101010000000…
…110000001100
3202201112011210
4222000300030
510304410012
61032014420
7162416154
oct52006014
922645153
1011013132
116242369
123831410
132387a60
141669764
15e7823c
hexa80c0c

11013132 has 48 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3362880.

The previous prime is 11013131. The next prime is 11013139. The reversal of 11013132 is 23131011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11013131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35257 + ... + 35567.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 211013132 is an apocalyptic number.

11013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

11013132 is an abundant number, since it is smaller than the sum of its proper divisors (16872180).

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

11013132 is a wasteful number, since it uses less digits than its factorization.

11013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11013132 is about 3318.6039233388. The cubic root of 11013132 is about 222.4864747912.

Adding to 11013132 its reverse (23131011), we get a palindrome (34144143).

The spelling of 11013132 in words is "eleven million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 311 454 622 681 908 933 1244 1362 1866 2724 2951 3732 4043 5902 8086 8853 11804 12129 16172 17706 24258 35412 48516 70597 141194 211791 282388 423582 847164 917761 1835522 2753283 3671044 5506566 11013132