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113131345153 = 1761310856093
BaseRepresentation
bin110100101011100100…
…1110101010100000001
3101211000022120210101111
41221113021311110001
53323143111021103
6123545525203321
711113333365421
oct1512711652401
9354008523344
10113131345153
1143a84771072
1219b13560541
13a88c17b268
14569301a481
152e21e8386d
hex1a57275501

113131345153 has 8 divisors (see below), whose sum is σ = 119981550888. Its totient is φ = 106302852864.

The previous prime is 113131345109. The next prime is 113131345157. The reversal of 113131345153 is 351543131311.

It can be written as a sum of positive squares in 4 ways, for example, as 2114436289 + 111016908864 = 45983^2 + 333192^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-113131345153 is a prime.

It is a super-2 number, since 2×1131313451532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113131345157) 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 7 ways as a sum of consecutive naturals, for example, 5417626 + ... + 5438467.

It is an arithmetic number, because the mean of its divisors is an integer number (14997693861).

Almost surely, 2113131345153 is an apocalyptic number.

It is an amenable number.

113131345153 is a deficient number, since it is larger than the sum of its proper divisors (6850205735).

113131345153 is a wasteful number, since it uses less digits than its factorization.

113131345153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856723.

The product of its digits is 8100, while the sum is 31.

Adding to 113131345153 its reverse (351543131311), we get a palindrome (464674476464).

The spelling of 113131345153 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred forty-five thousand, one hundred fifty-three".

Divisors: 1 17 613 10421 10856093 184553581 6654785009 113131345153