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113242320333 = 3241653469969
BaseRepresentation
bin110100101110111000…
…1001010110111001101
3101211022001101220201100
41221131301022313031
53323410013222313
6124004531533313
711116151561262
oct1513561126715
9354261356640
10113242320333
114403137939a
1219b4475a239
13a8a916544c
1456a3a67269
152e2baa5173
hex1a5dc4adcd

113242320333 has 24 divisors (see below), whose sum is σ = 167818767480. Its totient is φ = 73540592640.

The previous prime is 113242320307. The next prime is 113242320349. The reversal of 113242320333 is 333023242311.

113242320333 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 2 + 320 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6144521769 + 107097798564 = 78387^2 + 327258^2 .

It is not a de Polignac number, because 113242320333 - 212 = 113242316237 is a prime.

It is a super-2 number, since 2×1132423203332 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113242320297 and 113242320306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113242320533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5973 + ... + 475941.

It is an arithmetic number, because the mean of its divisors is an integer number (6992448645).

Almost surely, 2113242320333 is an apocalyptic number.

It is an amenable number.

113242320333 is a deficient number, since it is larger than the sum of its proper divisors (54576447147).

113242320333 is a wasteful number, since it uses less digits than its factorization.

113242320333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470669 (or 470666 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 113242320333 its reverse (333023242311), we get a palindrome (446265562644).

The spelling of 113242320333 in words is "one hundred thirteen billion, two hundred forty-two million, three hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 41 123 369 653 1959 5877 26773 80319 240957 469969 1409907 4229721 19268729 57806187 173418561 306889757 920669271 2762007813 12582480037 37747440111 113242320333