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23243113134 = 2344719315817
BaseRepresentation
bin10101101001011001…
…011100001010101110
32012222212000111010000
4111221121130022232
5340100214110014
614402220325130
71451662126143
oct255131341256
965885014100
1023243113134
119948149a0a
1246080a37a6
13226555cca7
1411a6cd43ca
15910833509
hex56965c2ae

23243113134 has 80 divisors (see below), whose sum is σ = 53468889408. Its totient is φ = 7543093248.

The previous prime is 23243113123. The next prime is 23243113147. The reversal of 23243113134 is 43131134232.

It is a happy number.

23243113134 is a `hidden beast` number, since 2 + 32 + 4 + 311 + 313 + 4 = 666.

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 = 23243113098 and 23243113107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1461594 + ... + 1477410.

Almost surely, 223243113134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23243113134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26734444704).

23243113134 is an abundant number, since it is smaller than the sum of its proper divisors (30225776274).

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

23243113134 is a wasteful number, since it uses less digits than its factorization.

23243113134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16062 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 23243113134 its reverse (43131134232), we get a palindrome (66374247366).

The spelling of 23243113134 in words is "twenty-three billion, two hundred forty-three million, one hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 193 282 386 423 579 846 1158 1269 1737 2538 3474 3807 5211 7614 9071 10422 15633 15817 18142 27213 31266 31634 47451 54426 81639 94902 142353 163278 244917 284706 427059 489834 734751 743399 854118 1281177 1469502 1486798 2230197 2562354 3052681 4460394 6105362 6690591 9158043 13381182 18316086 20071773 27474129 40143546 54948258 60215319 82422387 120430638 143476007 164844774 247267161 286952014 430428021 494534322 860856042 1291284063 2582568126 3873852189 7747704378 11621556567 23243113134