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13323112232320 = 275111999604607
BaseRepresentation
bin1100000111100000011101…
…0111110011010110000000
31202011200021121011121102001
43001320013113303112000
53221241213212413240
644200315301033344
72543364066303412
oct301700727632600
952150247147361
1013323112232320
114277333582240
1215b21373b5854
13758496bb0627
14340bb090c9b2
15181870e2489a
hexc1e075f3580

13323112232320 has 128 divisors (see below), whose sum is σ = 36574812057600. Its totient is φ = 4589780244480.

The previous prime is 13323112232303. The next prime is 13323112232327. The reversal of 13323112232320 is 2323221132331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323112232327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49668544 + ... + 49936063.

It is an arithmetic number, because the mean of its divisors is an integer number (285740719200).

Almost surely, 213323112232320 is an apocalyptic number.

13323112232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13323112232320 is an abundant number, since it is smaller than the sum of its proper divisors (23251699825280).

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

13323112232320 is a wasteful number, since it uses less digits than its factorization.

13323112232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99604656 (or 99604644 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13323112232320 its reverse (2323221132331), we get a palindrome (15646333364651).

The spelling of 13323112232320 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 304 320 352 380 418 440 608 640 704 760 836 880 1045 1216 1408 1520 1672 1760 2090 2432 3040 3344 3520 4180 6080 6688 7040 8360 12160 13376 16720 26752 33440 66880 133760 99604607 199209214 398418428 498023035 796836856 996046070 1095650677 1593673712 1892487533 1992092140 2191301354 3187347424 3784975066 3984184280 4382602708 5478253385 6374694848 7569950132 7968368560 8765205416 9462437665 10956506770 12749389696 15139900264 15936737120 17530410832 18924875330 20817362863 21913013540 30279800528 31873474240 35060821664 37849750660 41634725726 43826027080 60559601056 63746948480 70121643328 75699501320 83269451452 87652054160 104086814315 121119202112 140243286656 151399002640 166538902904 175304108320 208173628630 242238404224 302798005280 333077805808 350608216640 416347257260 605596010560 666155611616 701216433280 832694514520 1211192021120 1332311223232 1665389029040 2664622446464 3330778058080 6661556116160 13323112232320