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113303202233 = 13173713856329
BaseRepresentation
bin110100110000101100…
…1011010100110111001
3101211110021222000222112
41221201121122212321
53324021104432413
6124014544502105
711120521220444
oct1514131324671
9354407860875
10113303202233
1144062781911
1219b6101a935
13a8b8960940
1456abb9465b
152e320ce2a8
hex1a6165a9b9

113303202233 has 16 divisors (see below), whose sum is σ = 132688216080. Its totient is φ = 95774939136.

The previous prime is 113303202223. The next prime is 113303202239. The reversal of 113303202233 is 332202303311.

It can be written as a sum of positive squares in 8 ways, for example, as 603340969 + 112699861264 = 24563^2 + 335708^2 .

It is a cyclic number.

It is not a de Polignac number, because 113303202233 - 216 = 113303136697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113303202199 and 113303202208.

It is not an unprimeable number, because it can be changed into a prime (113303202239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6919988 + ... + 6936341.

It is an arithmetic number, because the mean of its divisors is an integer number (8293013505).

Almost surely, 2113303202233 is an apocalyptic number.

113303202233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113303202233 is a deficient number, since it is larger than the sum of its proper divisors (19385013847).

113303202233 is a wasteful number, since it uses less digits than its factorization.

113303202233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856396.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 113303202233 its reverse (332202303311), we get a palindrome (445505505544).

The spelling of 113303202233 in words is "one hundred thirteen billion, three hundred three million, two hundred two thousand, two hundred thirty-three".

Divisors: 1 13 17 37 221 481 629 8177 13856329 180132277 235557593 512684173 3062248709 6664894249 8715630941 113303202233