Search a number
-
+
131230395 = 33517211271
BaseRepresentation
bin1111101001001…
…10101010111011
3100010221012021000
413310212222323
5232043333040
621004420043
73152303622
oct764465273
9303835230
10131230395
116809237a
1237b47623
132125982a
14136006b9
15b7c3130
hex7d26abb

131230395 has 64 divisors (see below), whose sum is σ = 249108480. Its totient is φ = 65318400.

The previous prime is 131230391. The next prime is 131230399. The reversal of 131230395 is 593032131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131230391) and next prime (131230399).

It is not a de Polignac number, because 131230395 - 22 = 131230391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131230391) 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 63 ways as a sum of consecutive naturals, for example, 484110 + ... + 484380.

It is an arithmetic number, because the mean of its divisors is an integer number (3892320).

Almost surely, 2131230395 is an apocalyptic number.

131230395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131230395 is a deficient number, since it is larger than the sum of its proper divisors (117878085).

131230395 is a wasteful number, since it uses less digits than its factorization.

131230395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131230395 is about 11455.5835730878. The cubic root of 131230395 is about 508.1728737182.

The spelling of 131230395 in words is "one hundred thirty-one million, two hundred thirty thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 211 255 271 459 633 765 813 1055 1355 1899 2295 2439 3165 3587 4065 4607 5697 7317 9495 10761 12195 13821 17935 23035 28485 32283 36585 41463 53805 57181 69105 96849 124389 161415 171543 207315 285905 484245 514629 621945 857715 972077 1543887 2573145 2916231 4860385 7719435 8748693 14581155 26246079 43743465 131230395