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113302233112113 = 3217769962987609
BaseRepresentation
bin11001110000110000111011…
…010110110101111000110001
3112212011120212102201221020100
4121300300323112311320301
5104322320433134041423
61040550154411503013
732602546650035253
oct3160607326657061
9485146772657210
10113302233112113
1133113230899371
121085a894757a69
134b2b47c485c76
141dd9c00795cd3
15d173b76c3343
hex670c3b5b5e31

113302233112113 has 24 divisors (see below), whose sum is σ = 173511107569800. Its totient is φ = 70999150362624.

The previous prime is 113302233112087. The next prime is 113302233112129. The reversal of 113302233112113 is 311211332203311.

113302233112113 is a `hidden beast` number, since 1 + 1 + 3 + 302 + 2 + 331 + 1 + 21 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50229934686864 + 63072298425249 = 7087308^2 + 7941807^2 .

It is not a de Polignac number, because 113302233112113 - 29 = 113302233111601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113302233112213) 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, 481376148 + ... + 481611461.

It is an arithmetic number, because the mean of its divisors is an integer number (7229629482075).

Almost surely, 2113302233112113 is an apocalyptic number.

It is an amenable number.

113302233112113 is a deficient number, since it is larger than the sum of its proper divisors (60208874457687).

113302233112113 is a wasteful number, since it uses less digits than its factorization.

113302233112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962988401 (or 962988398 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 113302233112113 its reverse (311211332203311), we get a palindrome (424513565315424).

The spelling of 113302233112113 in words is "one hundred thirteen trillion, three hundred two billion, two hundred thirty-three million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 17 51 153 769 2307 6921 13073 39219 117657 962987609 2888962827 8666888481 16370789353 49112368059 147337104177 740537471321 2221612413963 6664837241889 12589137012457 37767411037371 113302233112113