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1213310010120 = 2335134331796219
BaseRepresentation
bin10001101001111110111…
…010011000001100001000
311021222202122211200101020
4101221332322120030020
5124334324330310440
62325215324152440
7153441644631165
oct21517672301410
94258678750336
101213310010120
1142861a96275a
12177193098720
138a550c80840
1442a2011106c
15218634773d0
hex11a7ee98308

1213310010120 has 128 divisors (see below), whose sum is σ = 3928979779200. Its totient is φ = 297971011584.

The previous prime is 1213310010113. The next prime is 1213310010131. The reversal of 1213310010120 is 210100133121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1213310010120.

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 31 ways as a sum of consecutive naturals, for example, 222630 + ... + 1573589.

It is an arithmetic number, because the mean of its divisors is an integer number (30695154525).

Almost surely, 21213310010120 is an apocalyptic number.

1213310010120 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 1213310010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964489889600).

1213310010120 is an abundant number, since it is smaller than the sum of its proper divisors (2715669769080).

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

1213310010120 is a wasteful number, since it uses less digits than its factorization.

1213310010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796679 (or 1796675 counting only the distinct ones).

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

Adding to 1213310010120 its reverse (210100133121), we get a palindrome (1423410143241).

The spelling of 1213310010120 in words is "one trillion, two hundred thirteen billion, three hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 433 520 780 866 1299 1560 1732 2165 2598 3464 4330 5196 5629 6495 8660 10392 11258 12990 16887 17320 22516 25980 28145 33774 45032 51960 56290 67548 84435 112580 135096 168870 225160 337740 675480 1796219 3592438 5388657 7184876 8981095 10777314 14369752 17962190 21554628 23350847 26943285 35924380 43109256 46701694 53886570 70052541 71848760 93403388 107773140 116754235 140105082 186806776 215546280 233508470 280210164 350262705 467016940 560420328 700525410 777762827 934033880 1401050820 1555525654 2333288481 2802101640 3111051308 3888814135 4666576962 6222102616 7777628270 9333153924 10110916751 11666442405 15555256540 18666307848 20221833502 23332884810 30332750253 31110513080 40443667004 46665769620 50554583755 60665500506 80887334008 93331539240 101109167510 121331001012 151663751265 202218335020 242662002024 303327502530 404436670040 606655005060 1213310010120