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13322213021320 = 2357367237754541
BaseRepresentation
bin1100000111011101000111…
…0001100101011010001000
31202011120221221010221210221
43001313101301211122020
53221232343013140240
644200050135515424
72543332600162120
oct301672161453210
952146857127727
1013322213021320
114276a11a39755
1215b1b26228b74
13758382802108
14340b27319c80
1518181c001a4a
hexc1dd1c65688

13322213021320 has 128 divisors (see below), whose sum is σ = 34365544104960. Its totient is φ = 4553170237440.

The previous prime is 13322213021317. The next prime is 13322213021363. The reversal of 13322213021320 is 2312031222331.

It is a super-3 number, since 3×133222130213203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244233250 + ... + 244287790.

It is an arithmetic number, because the mean of its divisors is an integer number (268480813320).

Almost surely, 213322213021320 is an apocalyptic number.

13322213021320 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 13322213021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182772052480).

13322213021320 is an abundant number, since it is smaller than the sum of its proper divisors (21043331083640).

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

13322213021320 is a wasteful number, since it uses less digits than its factorization.

13322213021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57303 (or 57299 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13322213021320 its reverse (2312031222331), we get a palindrome (15634244243651).

The spelling of 13322213021320 in words is "thirteen trillion, three hundred twenty-two billion, two hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 367 734 1468 1835 2377 2569 2936 3670 4754 5138 7340 9508 10276 11885 12845 14680 16639 19016 20552 23770 25690 33278 47540 51380 54541 66556 83195 95080 102760 109082 133112 166390 218164 272705 332780 381787 436328 545410 665560 763574 872359 1090820 1527148 1744718 1908935 2181640 3054296 3489436 3817870 4361795 6106513 6978872 7635740 8723590 12213026 15271480 17447180 20016547 24426052 30532565 34894360 40033094 48852104 61065130 80066188 100082735 122130260 129643957 140115829 160132376 200165470 244260520 259287914 280231658 400330940 518575828 560463316 648219785 700579145 800661880 907507699 1037151656 1120926632 1296439570 1401158290 1815015398 2592879140 2802316580 3630030796 4537538495 5185758280 5604633160 7260061592 9075076990 18150153980 36300307960 47579332219 95158664438 190317328876 237896661095 333055325533 380634657752 475793322190 666110651066 951586644380 1332221302132 1665276627665 1903173288760 2664442604264 3330553255330 6661106510660 13322213021320