Search a number
-
+
131097369 = 3133361471
BaseRepresentation
bin1111101000001…
…10001100011001
3100010200102210010
413310012030121
5232030103434
621001512133
73151211034
oct764061431
9303612703
10131097369
1168001437
1237aa2649
1321211110
14135a801b
15b7989e9
hex7d06319

131097369 has 8 divisors (see below), whose sum is σ = 188242432. Its totient is φ = 80675280.

The previous prime is 131097367. The next prime is 131097383. The reversal of 131097369 is 963790131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131097369 - 21 = 131097367 is a prime.

It is a super-2 number, since 2×1310973692 = 34373040317444322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 3361471 = 131097369 / (1 + 3 + 1 + 0 + 9 + 7 + 3 + 6 + 9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131097367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680697 + ... + 1680774.

It is an arithmetic number, because the mean of its divisors is an integer number (23530304).

Almost surely, 2131097369 is an apocalyptic number.

It is an amenable number.

131097369 is a deficient number, since it is larger than the sum of its proper divisors (57145063).

131097369 is a wasteful number, since it uses less digits than its factorization.

131097369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361487.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 131097369 is about 11449.7759366723. The cubic root of 131097369 is about 508.0011069581.

The spelling of 131097369 in words is "one hundred thirty-one million, ninety-seven thousand, three hundred sixty-nine".

Divisors: 1 3 13 39 3361471 10084413 43699123 131097369