Search a number
-
+
131411367 = 3239736779
BaseRepresentation
bin1111101010100…
…10110110100111
3100011021101111200
413311102312213
5232120130432
621012333543
73153656343
oct765226647
9304241450
10131411367
11681a633a
12380142b3
13212c1009
141364a623
15b80ba7c
hex7d52da7

131411367 has 12 divisors (see below), whose sum is σ = 190299720. Its totient is φ = 87384528.

The previous prime is 131411363. The next prime is 131411393. The reversal of 131411367 is 763114131.

It is not a de Polignac number, because 131411367 - 22 = 131411363 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131411367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14817 + ... + 21962.

It is an arithmetic number, because the mean of its divisors is an integer number (15858310).

Almost surely, 2131411367 is an apocalyptic number.

131411367 is a deficient number, since it is larger than the sum of its proper divisors (58888353).

131411367 is a wasteful number, since it uses less digits than its factorization.

131411367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37182 (or 37179 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 131411367 is about 11463.4797073140. The cubic root of 131411367 is about 508.4063633736.

Adding to 131411367 its reverse (763114131), we get a palindrome (894525498).

The spelling of 131411367 in words is "one hundred thirty-one million, four hundred eleven thousand, three hundred sixty-seven".

Divisors: 1 3 9 397 1191 3573 36779 110337 331011 14601263 43803789 131411367