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13131377 = 747167239
BaseRepresentation
bin110010000101…
…111001110001
3220201010212022
4302011321301
511330201002
61145241225
7216420620
oct62057161
926633768
1013131377
117459886
124493215
132949c5c
141a5b6b7
151245ba2
hexc85e71

13131377 has 16 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 10904208.

The previous prime is 13131373. The next prime is 13131401. The reversal of 13131377 is 77313131.

13131377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131377 - 22 = 13131373 is a prime.

It is a super-2 number, since 2×131313772 = 344866123832258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54824 + ... + 55062.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 213131377 is an apocalyptic number.

It is an amenable number.

13131377 is a deficient number, since it is larger than the sum of its proper divisors (2351503).

13131377 is a wasteful number, since it uses less digits than its factorization.

13131377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its digits is 1323, while the sum is 26.

The square root of 13131377 is about 3623.7241892837. The cubic root of 13131377 is about 235.9228956678.

It can be divided in two parts, 131313 and 77, that multiplied together give a palindrome (10111101).

The spelling of 13131377 in words is "thirteen million, one hundred thirty-one thousand, three hundred seventy-seven".

Divisors: 1 7 47 167 239 329 1169 1673 7849 11233 39913 54943 78631 279391 1875911 13131377