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11013312 = 263193019
BaseRepresentation
bin101010000000…
…110011000000
3202201112102110
4222000303000
510304411222
61032015320
7162416532
oct52006300
922645373
1011013312
116242512
123831540
132387b6b
141669852
15e7830c
hexa80cc0

11013312 has 56 divisors (see below), whose sum is σ = 30683200. Its totient is φ = 3476736.

The previous prime is 11013271. The next prime is 11013329. The reversal of 11013312 is 21331011.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2139 + ... + 5157.

Almost surely, 211013312 is an apocalyptic number.

11013312 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 11013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341600).

11013312 is an abundant number, since it is smaller than the sum of its proper divisors (19669888).

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

11013312 is a wasteful number, since it uses less digits than its factorization.

11013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3043 counting only the distinct ones).

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

The square root of 11013312 is about 3318.6310430658. The cubic root of 11013312 is about 222.4876869001.

Adding to 11013312 its reverse (21331011), we get a palindrome (32344323).

It can be divided in two parts, 11013 and 312, that added together give a triangular number (11325 = T150).

The spelling of 11013312 in words is "eleven million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3019 3648 6038 9057 12076 18114 24152 36228 48304 57361 72456 96608 114722 144912 172083 193216 229444 289824 344166 458888 579648 688332 917776 1376664 1835552 2753328 3671104 5506656 11013312