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13311303331320 = 23325179206568953
BaseRepresentation
bin1100000110110100011110…
…0000011010110111111000
31202010112210121122021121100
43001231013200122313320
53221043022123100240
644151043415211400
72542465335302541
oct301550740326770
952115717567540
1013311303331320
114272323784125
1215ab9a0676b60
13757334507847
143403b04374c8
151813ce350e30
hexc1b4781adf8

13311303331320 has 96 divisors (see below), whose sum is σ = 43503421712400. Its totient is φ = 3529850251776.

The previous prime is 13311303331307. The next prime is 13311303331349. The reversal of 13311303331320 is 2313330311331.

13311303331320 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 3 + 0 + 3 + 331 + 320 = 666.

13311303331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133113033313203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103220037 + ... + 103348916.

Almost surely, 213311303331320 is an apocalyptic number.

13311303331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311303331320 is an abundant number, since it is smaller than the sum of its proper divisors (30192118381080).

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

13311303331320 is a wasteful number, since it uses less digits than its factorization.

13311303331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206569149 (or 206569142 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13311303331320 its reverse (2313330311331), we get a palindrome (15624633642651).

The spelling of 13311303331320 in words is "thirteen trillion, three hundred eleven billion, three hundred three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 16110 21480 32220 64440 206568953 413137906 619706859 826275812 1032844765 1239413718 1652551624 1859120577 2065689530 2478827436 3098534295 3718241154 4131379060 4957654872 6197068590 7436482308 8262758120 9295602885 12394137180 14872964616 18591205770 24788274360 36975842587 37182411540 73951685174 74364823080 110927527761 147903370348 184879212935 221855055522 295806740696 332782583283 369758425870 443710111044 554637638805 665565166566 739516851740 887420222088 1109275277610 1331130333132 1479033703480 1663912916415 2218550555220 2662260666264 3327825832830 4437101110440 6655651665660 13311303331320