Search a number
-
+
131431413 = 3318317027
BaseRepresentation
bin1111101010101…
…11101111110101
3100011022102000010
413311113233311
5232121301123
621013010433
73154101651
oct765275765
9304272003
10131431413
116820a403
1238023a19
13212ca189
1413653a61
15b812993
hex7d57bf5

131431413 has 16 divisors (see below), whose sum is σ = 183085056. Its totient is φ = 83767920.

The previous prime is 131431397. The next prime is 131431423. The reversal of 131431413 is 314134131.

It is not a de Polignac number, because 131431413 - 24 = 131431397 is a prime.

It is a super-3 number, since 3×1314314133 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131431413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431423) 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, 795 + ... + 16232.

It is an arithmetic number, because the mean of its divisors is an integer number (11442816).

Almost surely, 2131431413 is an apocalyptic number.

It is an amenable number.

131431413 is a deficient number, since it is larger than the sum of its proper divisors (51653643).

131431413 is a wasteful number, since it uses less digits than its factorization.

131431413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17144.

The product of its digits is 432, while the sum is 21.

The square root of 131431413 is about 11464.3540158179. The cubic root of 131431413 is about 508.4322134859.

Adding to 131431413 its reverse (314134131), we get a palindrome (445565544).

The spelling of 131431413 in words is "one hundred thirty-one million, four hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 31 83 93 249 2573 7719 17027 51081 527837 1413241 1583511 4239723 43810471 131431413