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113143312422 = 232717223236867
BaseRepresentation
bin110100101011111011…
…1011111000000100110
3101211001011002210101200
41221113313133000212
53323204141444142
6123551033503330
711113540200420
oct1512767370046
9354034083350
10113143312422
1143a904a5278
1219b17571b46
13a8917ab39a
145694853810
152e2304964c
hex1a57ddf026

113143312422 has 96 divisors (see below), whose sum is σ = 297976154112. Its totient is φ = 30288529152.

The previous prime is 113143312421. The next prime is 113143312427. The reversal of 113143312422 is 224213341311.

113143312422 is a `hidden beast` number, since 11 + 314 + 3 + 312 + 4 + 22 = 666.

It is a super-3 number, since 3×1131433124223 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113143312421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359233 + ... + 596099.

It is an arithmetic number, because the mean of its divisors is an integer number (3103918272).

Almost surely, 2113143312422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113143312422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148988077056).

113143312422 is an abundant number, since it is smaller than the sum of its proper divisors (184832841690).

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

113143312422 is a wasteful number, since it uses less digits than its factorization.

113143312422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237122 (or 237119 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 113143312422 its reverse (224213341311), we get a palindrome (337356653733).

The spelling of 113143312422 in words is "one hundred thirteen billion, one hundred forty-three million, three hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 223 238 306 357 446 669 714 1071 1338 1561 2007 2142 3122 3791 4014 4683 7582 9366 11373 14049 22746 26537 28098 34119 53074 68238 79611 159222 236867 238833 473734 477666 710601 1421202 1658069 2131803 3316138 4026739 4263606 4974207 8053478 9948414 12080217 14922621 24160434 28187173 29845242 36240651 52821341 56374346 72481302 84561519 105642682 158464023 169123038 253684557 316928046 369749387 475392069 507369114 739498774 897962797 950784138 1109248161 1795925594 2218496322 2693888391 3327744483 5387776782 6285739579 6655488966 8081665173 12571479158 16163330346 18857218737 37714437474 56571656211 113143312422