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113332123221012 = 223273193487458819
BaseRepresentation
bin11001110001001100110000…
…111100100011110000010100
3112212021110000112020210100200
4121301030300330203300110
5104323313142021033022
61041012020400340500
732604655443545013
oct3161146074436024
9485243015223320
10113332123221012
1133124979aa5603
1210864636914730
134b31233b53437
141ddb438396a7a
15d18066841bac
hex671330f23c14

113332123221012 has 144 divisors (see below), whose sum is σ = 292507499007360. Its totient is φ = 36990626586624.

The previous prime is 113332123221007. The next prime is 113332123221043. The reversal of 113332123221012 is 210122321233311.

113332123221012 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 321 + 2 + 322 + 1 + 0 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246778939 + ... + 247237757.

It is an arithmetic number, because the mean of its divisors is an integer number (2031302076440).

Almost surely, 2113332123221012 is an apocalyptic number.

113332123221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113332123221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146253749503680).

113332123221012 is an abundant number, since it is smaller than the sum of its proper divisors (179175375786348).

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

113332123221012 is a wasteful number, since it uses less digits than its factorization.

113332123221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459582 (or 459577 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113332123221012 its reverse (210122321233311), we get a palindrome (323454444454323).

The spelling of 113332123221012 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty-three million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 193 219 292 386 438 487 579 657 772 876 974 1158 1314 1461 1737 1948 2316 2628 2922 3474 4383 5844 6948 8766 14089 17532 28178 35551 42267 56356 71102 84534 93991 106653 126801 142204 169068 187982 213306 253602 281973 319959 375964 426612 458819 507204 563946 639918 845919 917638 1127892 1279836 1376457 1691838 1835276 2752914 3383676 4129371 5505828 6861343 8258742 13722686 16517484 20584029 27445372 33493787 41168058 61752087 66987574 82336116 88552067 100481361 123504174 133975148 177104134 200962722 223444853 247008348 265656201 301444083 354208268 401925444 446889706 531312402 602888166 670334559 796968603 893779412 1062624804 1205776332 1340669118 1593937206 2011003677 2681338236 3187874412 4022007354 6464300891 8044014708 12928601782 16311474269 19392902673 25857203564 32622948538 38785805346 43124856629 48934422807 58178708019 65245897076 77571610692 86249713258 97868845614 116357416038 129374569887 146803268421 172499426516 195737691228 232714832076 258749139774 293606536842 388123709661 517498279548 587213073684 776247419322 1552494838644 3148114533917 6296229067834 9444343601751 12592458135668 18888687203502 28333030805253 37777374407004 56666061610506 113332123221012