Search a number
-
+
13312242113120 = 255893073045109
BaseRepresentation
bin1100000110110111111101…
…1101100101101001100000
31202010122020001010100010122
43001231333131211221200
53221101432440104440
644151320512415412
72542530524643656
oct301557735455140
952118201110118
1013312242113120
114272765694855
1215b0002b47568
13757453b5c432
1434045cdaadd6
1518143698d7b5
hexc1b7f765a60

13312242113120 has 96 divisors (see below), whose sum is σ = 31907149797600. Its totient is φ = 5247914766336.

The previous prime is 13312242113111. The next prime is 13312242113197. The reversal of 13312242113120 is 2131124221331.

It is a super-2 number, since 2×133122421131202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13312242113120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2849126 + ... + 5894234.

It is an arithmetic number, because the mean of its divisors is an integer number (332366143725).

Almost surely, 213312242113120 is an apocalyptic number.

13312242113120 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 13312242113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953574898800).

13312242113120 is an abundant number, since it is smaller than the sum of its proper divisors (18594907684480).

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

13312242113120 is a wasteful number, since it uses less digits than its factorization.

13312242113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045520 (or 3045512 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13312242113120 its reverse (2131124221331), we get a palindrome (15443366334451).

The spelling of 13312242113120 in words is "thirteen trillion, three hundred twelve billion, two hundred forty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 307 356 445 614 712 890 1228 1424 1535 1780 2456 2848 3070 3560 4912 6140 7120 9824 12280 14240 24560 27323 49120 54646 109292 136615 218584 273230 437168 546460 874336 1092920 2185840 3045109 4371680 6090218 12180436 15225545 24360872 30451090 48721744 60902180 97443488 121804360 243608720 271014701 487217440 542029402 934848463 1084058804 1355073505 1869696926 2168117608 2710147010 3739393852 4336235216 4674242315 5420294020 7478787704 8672470432 9348484630 10840588040 14957575408 18696969260 21681176080 29915150816 37393938520 43362352160 74787877040 83201513207 149575754080 166403026414 332806052828 416007566035 665612105656 832015132070 1331224211312 1664030264140 2662448422624 3328060528280 6656121056560 13312242113120