Search a number
-
+
113320110213030 = 23572233351674363
BaseRepresentation
bin11001110001000001100100…
…111010100100011110100110
3112212020022000022122202102010
4121301001210322210132212
5104323114041203304110
61041002312344055050
732604051653633100
oct3161014472443646
9485208008582363
10113320110213030
113311a874a69936
1210862243764486
134b3006b0b5ba6
141ddaa18b50570
15d17ab1da2020
hex671064ea47a6

113320110213030 has 96 divisors (see below), whose sum is σ = 330126518156544. Its totient is φ = 24775576883904.

The previous prime is 113320110212989. The next prime is 113320110213031. The reversal of 113320110213030 is 30312011023311.

It is a happy number.

It is a super-3 number, since 3×1133201102130303 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113320110212988 and 113320110213006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113320110213031) 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, 1675803372 + ... + 1675870991.

It is an arithmetic number, because the mean of its divisors is an integer number (3438817897464).

Almost surely, 2113320110213030 is an apocalyptic number.

113320110213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113320110213030 is an abundant number, since it is smaller than the sum of its proper divisors (216806407943514).

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

113320110213030 is a wasteful number, since it uses less digits than its factorization.

113320110213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351674410 (or 3351674403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113320110213030 its reverse (30312011023311), we get a palindrome (143632121236341).

The spelling of 113320110213030 in words is "one hundred thirteen trillion, three hundred twenty billion, one hundred ten million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3381 4830 5635 6762 11270 16905 33810 3351674363 6703348726 10055023089 16758371815 20110046178 23461720541 33516743630 46923441082 50275115445 70385161623 77088510349 100550230890 117308602705 140770323246 154177020698 164232043787 231265531047 234617205410 328464087574 351925808115 385442551745 462531062094 492696131361 539619572443 703851616230 770885103490 821160218935 985392262722 1079239144886 1156327655235 1618858717329 1642320437870 2312655310470 2463480656805 2698097862215 3237717434658 3777337007101 4926961313610 5396195724430 7554674014202 8094293586645 11332011021303 16188587173290 18886685035505 22664022042606 37773370071010 56660055106515 113320110213030