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13331124 = 2232675527
BaseRepresentation
bin110010110110…
…101010110100
3221002021212100
4302312222310
511403043444
61153422100
7221212152
oct62665264
927067770
1013331124
117585964
12456a930
1329b9b51
141ab03d2
151284e69
hexcb6ab4

13331124 has 36 divisors (see below), whose sum is σ = 34207264. Its totient is φ = 4376592.

The previous prime is 13331119. The next prime is 13331167. The reversal of 13331124 is 42113331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13331097 and 13331106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 5175.

Almost surely, 213331124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103632).

13331124 is an abundant number, since it is smaller than the sum of its proper divisors (20876140).

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

13331124 is a wasteful number, since it uses less digits than its factorization.

13331124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5599 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13331124 is about 3651.1811787420. The cubic root of 13331124 is about 237.1131223043.

Adding to 13331124 its reverse (42113331), we get a palindrome (55444455).

The spelling of 13331124 in words is "thirteen million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 5527 11054 16581 22108 33162 49743 66324 99486 198972 370309 740618 1110927 1481236 2221854 3332781 4443708 6665562 13331124