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13131018 = 233243167
BaseRepresentation
bin110010000101…
…110100001010
3220201010101000
4302011310022
511330143033
61145235430
7216416565
oct62056412
926633330
1013131018
11745958a
124492b76
132949a44
141a5b4dc
151245a13
hexc85d0a

13131018 has 16 divisors (see below), whose sum is σ = 29180160. Its totient is φ = 4376988.

The previous prime is 13131017. The next prime is 13131023. The reversal of 13131018 is 81013131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13131017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121530 + ... + 121637.

It is an arithmetic number, because the mean of its divisors is an integer number (1823760).

Almost surely, 213131018 is an apocalyptic number.

13131018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13131018 is an abundant number, since it is smaller than the sum of its proper divisors (16049142).

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

13131018 is a wasteful number, since it uses less digits than its factorization.

13131018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243178 (or 243172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 13131018 is about 3623.6746542702. The cubic root of 13131018 is about 235.9207456752.

Adding to 13131018 its reverse (81013131), we get a palindrome (94144149).

It can be divided in two parts, 131310 and 18, that added together give a triangular number (131328 = T512).

The spelling of 13131018 in words is "thirteen million, one hundred thirty-one thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 243167 486334 729501 1459002 2188503 4377006 6565509 13131018