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113041200012 = 223139720993559
BaseRepresentation
bin110100101000111000…
…1111101001110001100
3101210210000221221111120
41221101301331032030
53323002021400022
6123532545120540
711111160226536
oct1512161751614
9353700857446
10113041200012
1143a388a0754
1219aa9329150
13a8765a8240
145685072856
152e190c8d5c
hex1a51c7d38c

113041200012 has 96 divisors (see below), whose sum is σ = 287198016000. Its totient is φ = 34397263872.

The previous prime is 113041200011. The next prime is 113041200061. The reversal of 113041200012 is 210002140311.

It is a super-3 number, since 3×1130412000123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113041199964 and 113041200000.

It is not an unprimeable number, because it can be changed into a prime (113041200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31760289 + ... + 31763847.

It is an arithmetic number, because the mean of its divisors is an integer number (2991646000).

Almost surely, 2113041200012 is an apocalyptic number.

113041200012 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 113041200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143599008000).

113041200012 is an abundant number, since it is smaller than the sum of its proper divisors (174156815988).

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

113041200012 is a wasteful number, since it uses less digits than its factorization.

113041200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 113041200012 its reverse (210002140311), we get a palindrome (323043340323).

The spelling of 113041200012 in words is "one hundred thirteen billion, forty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2099 2522 3559 3783 4198 5044 6297 7118 7566 8396 10677 12594 14236 15132 21354 25188 27287 42708 46267 54574 81861 92534 109148 138801 163722 185068 203603 277602 327444 345223 407206 555204 610809 690446 814412 1035669 1221618 1380892 2071338 2443236 2646839 4142676 4487899 5293678 7470341 7940517 8975798 10587356 13463697 14940682 15881034 17951596 22411023 26927394 29881364 31762068 44822046 53854788 89644092 97114433 194228866 291343299 388457732 582686598 724623077 1165373196 1449246154 2173869231 2898492308 4347738462 8695476924 9420100001 18840200002 28260300003 37680400004 56520600006 113041200012