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113253131304 = 233213711481461
BaseRepresentation
bin110100101111001101…
…0011010010000101000
3101211022210202011120200
41221132122122100220
53323420300200204
6124005555352200
711116342506165
oct1513632322050
9354283664520
10113253131304
1144037492885
1219b482b2660
13a8ab47c181
1456a527d06c
152e2c9dd539
hex1a5e69a428

113253131304 has 48 divisors (see below), whose sum is σ = 308966142420. Its totient is φ = 37475485440.

The previous prime is 113253131291. The next prime is 113253131309. The reversal of 113253131304 is 403131352311.

113253131304 is a `hidden beast` number, since 1 + 1 + 325 + 3 + 1 + 31 + 304 = 666.

113253131304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111822022404 + 1431108900 = 334398^2 + 37830^2 .

It is a super-3 number, since 3×1132531313043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113253131309) 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, 5730867 + ... + 5750594.

Almost surely, 2113253131304 is an apocalyptic number.

It is an amenable number.

113253131304 is an abundant number, since it is smaller than the sum of its proper divisors (195713011116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113253131304 is a wasteful number, since it uses less digits than its factorization.

113253131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481610 (or 11481603 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 113253131304 its reverse (403131352311), we get a palindrome (516384483615).

The spelling of 113253131304 in words is "one hundred thirteen billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 11481461 22962922 34444383 45925844 68888766 91851688 103333149 137777532 206666298 275555064 413332596 826665192 1572960157 3145920314 4718880471 6291840628 9437760942 12583681256 14156641413 18875521884 28313282826 37751043768 56626565652 113253131304