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113123023310133 = 341725978091569
BaseRepresentation
bin11001101110001010000001…
…100111101100110100110101
3112211112110021222212201220000
4121232022001213230310311
5104311401422431411013
61040331555515501513
732553603654615414
oct3156120147546465
9484473258781800
10113123023310133
1133054228602701
121082bbbb757899
134b175bc471c15
141dd127d8d347b
15d128c9557973
hex66e2819ecd35

113123023310133 has 20 divisors (see below), whose sum is σ = 168987244662060. Its totient is φ = 75414902608512.

The previous prime is 113123023310081. The next prime is 113123023310149. The reversal of 113123023310133 is 331013320321311.

113123023310133 is a `hidden beast` number, since 1 + 1 + 3 + 12 + 302 + 3 + 310 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23087083229604 + 90035940080529 = 4804902^2 + 9488727^2 .

It is a de Polignac number, because none of the positive numbers 2k-113123023310133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113123023310097 and 113123023310106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123023310183) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9934573 + ... + 18026141.

It is an arithmetic number, because the mean of its divisors is an integer number (8449362233103).

Almost surely, 2113123023310133 is an apocalyptic number.

It is an amenable number.

113123023310133 is a deficient number, since it is larger than the sum of its proper divisors (55864221351927).

113123023310133 is an equidigital number, since it uses as much as digits as its factorization.

113123023310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264178 (or 8264169 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113123023310133 its reverse (331013320321311), we get a palindrome (444136343631444).

The spelling of 113123023310133 in words is "one hundred thirteen trillion, one hundred twenty-three billion, twenty-three million, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 172597 517791 1553373 4660119 8091569 13980357 24274707 72824121 218472363 655417089 1396580534693 4189741604079 12569224812237 37707674436711 113123023310133