Search a number
-
+
11331012 = 22371112263
BaseRepresentation
bin101011001110…
…010111000100
3210022200020010
4223032113010
510400043022
61042510220
7165212010
oct53162704
923280203
1011331012
11643a180
123965370
132469654
14170d540
15edc50c
hexace5c4

11331012 has 48 divisors (see below), whose sum is σ = 32965632. Its totient is φ = 2942880.

The previous prime is 11331007. The next prime is 11331031. The reversal of 11331012 is 21013311.

11331012 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

11331012 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5208 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 211331012 is an apocalyptic number.

11331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331012 is an abundant number, since it is smaller than the sum of its proper divisors (21634620).

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

11331012 is a wasteful number, since it uses less digits than its factorization.

11331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12288 (or 12286 counting only the distinct ones).

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

The square root of 11331012 is about 3366.1568590902. The cubic root of 11331012 is about 224.6067996801.

Adding to 11331012 its reverse (21013311), we get a palindrome (32344323).

It can be divided in two parts, 1133 and 1012, that added together give a triangular number (2145 = T65).

The spelling of 11331012 in words is "eleven million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 12263 24526 36789 49052 73578 85841 134893 147156 171682 257523 269786 343364 404679 515046 539572 809358 944251 1030092 1618716 1888502 2832753 3777004 5665506 11331012