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12012100013310 = 2351723244523889
BaseRepresentation
bin1010111011001100100011…
…1101000100110011111110
31120112100022220101110121120
42232303020331010303332
53033301240100411220
641314141011211410
72346563015305155
oct256631075046376
946470286343546
1012012100013310
113911337336a01
121420037ba6b66
136919754a0c87
142d75629d259c
1515c6e0349a40
hexaecc8f44cfe

12012100013310 has 96 divisors (see below), whose sum is σ = 31909737676320. Its totient is φ = 2883723177984.

The previous prime is 12012100013227. The next prime is 12012100013311. The reversal of 12012100013310 is 1331000121021.

It is a happy number.

It is a super-2 number, since 2×120121000133102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12012100013310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012100013311) 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, 21992155 + ... + 22531734.

It is an arithmetic number, because the mean of its divisors is an integer number (332393100795).

Almost surely, 212012100013310 is an apocalyptic number.

12012100013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012100013310 is an abundant number, since it is smaller than the sum of its proper divisors (19897637663010).

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

12012100013310 is a wasteful number, since it uses less digits than its factorization.

12012100013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44523962 (or 44523939 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12012100013310 its reverse (1331000121021), we get a palindrome (13343100134331).

The spelling of 12012100013310 in words is "twelve trillion, twelve billion, one hundred million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 529 690 782 1058 1173 1587 1955 2346 2645 3174 3910 5290 5865 7935 8993 11730 15870 17986 26979 44965 53958 89930 134895 269790 44523889 89047778 133571667 222619445 267143334 445238890 667858335 756906113 1024049447 1335716670 1513812226 2048098894 2270718339 3072148341 3784530565 4541436678 5120247235 6144296682 7569061130 10240494470 11353591695 15360741705 17408840599 22707183390 23553137281 30721483410 34817681198 47106274562 52226521797 70659411843 87044202995 104453043594 117765686405 141318823686 174088405990 235531372810 261132608985 353297059215 400403333777 522265217970 706594118430 800806667554 1201210001331 2002016668885 2402420002662 4004033337770 6006050006655 12012100013310