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13131404 = 22112132087
BaseRepresentation
bin110010000101…
…111010001100
3220201010220022
4302011322030
511330201104
61145241312
7216420656
oct62057214
926633808
1013131404
117459900
124493238
132949c80
141a5b6d6
151245bbe
hexc85e8c

13131404 has 36 divisors (see below), whose sum is σ = 27214992. Its totient is φ = 5507040.

The previous prime is 13131401. The next prime is 13131407. The reversal of 13131404 is 40413131.

It is an interprime number because it is at equal distance from previous prime (13131401) and next prime (13131407).

It is a super-2 number, since 2×131314042 = 344867542022432, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13131401) by changing a digit.

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, 5249 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (755972).

Almost surely, 213131404 is an apocalyptic number.

It is an amenable number.

13131404 is an abundant number, since it is smaller than the sum of its proper divisors (14083588).

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

13131404 is a wasteful number, since it uses less digits than its factorization.

13131404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13131404 is about 3623.7279147309. The cubic root of 13131404 is about 235.9230573648.

Adding to 13131404 its reverse (40413131), we get a palindrome (53544535).

The spelling of 13131404 in words is "thirteen million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 2087 3146 4174 6292 8348 22957 27131 45914 54262 91828 108524 252527 298441 505054 596882 1010108 1193764 3282851 6565702 13131404