Search a number
-
+
12113121302320 = 2451033973702869
BaseRepresentation
bin1011000001000100111001…
…0010101101011100110000
31120220000002020202200000011
42300101032102231130300
53041430133023133240
641432405140104304
72360100303142513
oct260211622553460
946800066680004
1012113121302320
113950167206605
12143772b995094
1369b35476292c
142dc3c7542d7a
1516015406d6ea
hexb044e4ad730

12113121302320 has 80 divisors (see below), whose sum is σ = 28508070277440. Its totient is φ = 4786119816192.

The previous prime is 12113121302297. The next prime is 12113121302357. The reversal of 12113121302320 is 2320312131121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12113121302291 and 12113121302300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1419846 + ... + 5122714.

It is an arithmetic number, because the mean of its divisors is an integer number (356350878468).

Almost surely, 212113121302320 is an apocalyptic number.

12113121302320 is a gapful number since it is divisible by the number (10) 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 12113121302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254035138720).

12113121302320 is an abundant number, since it is smaller than the sum of its proper divisors (16394948975120).

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

12113121302320 is a wasteful number, since it uses less digits than its factorization.

12113121302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703382 (or 3703376 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12113121302320 its reverse (2320312131121), we get a palindrome (14433433433441).

The spelling of 12113121302320 in words is "twelve trillion, one hundred thirteen billion, one hundred twenty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 397 412 515 794 824 1030 1588 1648 1985 2060 3176 3970 4120 6352 7940 8240 15880 31760 40891 81782 163564 204455 327128 408910 654256 817820 1635640 3271280 3702869 7405738 14811476 18514345 29622952 37028690 59245904 74057380 148114760 296229520 381395507 762791014 1470038993 1525582028 1906977535 2940077986 3051164056 3813955070 5880155972 6102328112 7350194965 7627910140 11760311944 14700389930 15255820280 23520623888 29400779860 30511640560 58801559720 117603119440 151414016279 302828032558 605656065116 757070081395 1211312130232 1514140162790 2422624260464 3028280325580 6056560651160 12113121302320