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13131306 = 2324791523
BaseRepresentation
bin110010000101…
…111000101010
3220201010202200
4302011320222
511330200211
61145241030
7216420456
oct62057052
926633680
1013131306
117459821
124493176
132949c06
141a5b666
151245b56
hexc85e2a

13131306 has 24 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 4365096.

The previous prime is 13131281. The next prime is 13131317. The reversal of 13131306 is 60313131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7861 + ... + 9383.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 213131306 is an apocalyptic number.

13131306 is an abundant number, since it is smaller than the sum of its proper divisors (15397974).

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

13131306 is a wasteful number, since it uses less digits than its factorization.

13131306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13131306 is about 3623.7143927192. The cubic root of 13131306 is about 235.9224704635.

Adding to 13131306 its reverse (60313131), we get a palindrome (73444437).

The spelling of 13131306 in words is "thirteen million, one hundred thirty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 479 958 1437 1523 2874 3046 4311 4569 8622 9138 13707 27414 729517 1459034 2188551 4377102 6565653 13131306