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13231530 = 23251343263
BaseRepresentation
bin110010011110…
…010110101010
3220220020020200
4302132112222
511341402110
61151333030
7220315614
oct62362652
926806220
1013231530
117518054
124521176
132983710
141a85db4
1512656c0
hexc9e5aa

13231530 has 96 divisors (see below), whose sum is σ = 38054016. Its totient is φ = 3169152.

The previous prime is 13231529. The next prime is 13231531. The reversal of 13231530 is 3513231.

13231530 is a `hidden beast` number, since 132 + 3 + 1 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (13231529) and next prime (13231531).

It is a super-2 number, since 2×132315302 = 350146772281800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13231531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50179 + ... + 50441.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 213231530 is an apocalyptic number.

13231530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027008).

13231530 is an abundant number, since it is smaller than the sum of its proper divisors (24822486).

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

13231530 is a wasteful number, since it uses less digits than its factorization.

13231530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13231530 is about 3637.5170102695. The cubic root of 13231530 is about 236.5211717865.

Adding to 13231530 its reverse (3513231), we get a palindrome (16744761).

The spelling of 13231530 in words is "thirteen million, two hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 263 387 390 430 526 559 585 645 774 789 1118 1170 1290 1315 1578 1677 1935 2367 2630 2795 3354 3419 3870 3945 4734 5031 5590 6838 7890 8385 10062 10257 11309 11835 16770 17095 20514 22618 23670 25155 30771 33927 34190 50310 51285 56545 61542 67854 101781 102570 113090 147017 153855 169635 203562 294034 307710 339270 441051 508905 735085 882102 1017810 1323153 1470170 2205255 2646306 4410510 6615765 13231530