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131305145 = 529538893
BaseRepresentation
bin1111101001110…
…00111010111001
3100011001222210112
413310320322321
5232103231040
621010154105
73153034556
oct764707271
9304058715
10131305145
1168133554
1237b82935
132128486a
141361da2d
15b7da365
hex7d38eb9

131305145 has 8 divisors (see below), whose sum is σ = 157637256. Its totient is φ = 104996736.

The previous prime is 131305103. The next prime is 131305177. The reversal of 131305145 is 541503131.

It can be written as a sum of positive squares in 4 ways, for example, as 10569001 + 120736144 = 3251^2 + 10988^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131305145 is a prime.

It is a super-2 number, since 2×1313051452 = 34482082206942050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131305145.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10319 + ... + 19211.

It is an arithmetic number, because the mean of its divisors is an integer number (19704657).

Almost surely, 2131305145 is an apocalyptic number.

It is an amenable number.

131305145 is a deficient number, since it is larger than the sum of its proper divisors (26332111).

131305145 is an equidigital number, since it uses as much as digits as its factorization.

131305145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 131305145 is about 11458.8457097563. The cubic root of 131305145 is about 508.2693420001.

Adding to 131305145 its reverse (541503131), we get a palindrome (672808276).

The spelling of 131305145 in words is "one hundred thirty-one million, three hundred five thousand, one hundred forty-five".

Divisors: 1 5 2953 8893 14765 44465 26261029 131305145