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130322111201120 = 25516713151370871
BaseRepresentation
bin11101101000011011111011…
…001001001111111101100000
3122002102200011000001201020202
4131220123323021033331200
5114040144140431413440
61141101052410524332
736310314255556256
oct3550337311177540
9562380130051222
10130322111201120
113858532a312163
121274936b4366a8
13579442629ba47
1424278a3b4a5d6
15100ee9ceee615
hex7686fb24ff60

130322111201120 has 96 divisors (see below), whose sum is σ = 309754003378176. Its totient is φ = 51812615872000.

The previous prime is 130322111201077. The next prime is 130322111201129. The reversal of 130322111201120 is 21102111223031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130322111201092 and 130322111201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130322111201129) 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, 351209285 + ... + 351580155.

It is an arithmetic number, because the mean of its divisors is an integer number (3226604201856).

Almost surely, 2130322111201120 is an apocalyptic number.

130322111201120 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 130322111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154877001689088).

130322111201120 is an abundant number, since it is smaller than the sum of its proper divisors (179431892177056).

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

130322111201120 is a wasteful number, since it uses less digits than its factorization.

130322111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384204 (or 384196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 130322111201120 its reverse (21102111223031), we get a palindrome (151424222424151).

The spelling of 130322111201120 in words is "one hundred thirty trillion, three hundred twenty-two billion, one hundred eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1336 1670 2672 3340 5344 6680 13151 13360 26302 26720 52604 65755 105208 131510 210416 263020 370871 420832 526040 741742 1052080 1483484 1854355 2104160 2196217 2966968 3708710 4392434 5933936 7417420 8784868 10981085 11867872 14834840 17569736 21962170 29669680 35139472 43924340 59339360 61935457 70278944 87848680 123870914 175697360 247741828 309677285 351394720 495483656 619354570 990967312 1238709140 1981934624 2477418280 4877324521 4954836560 9754649042 9909673120 19509298084 24386622605 39018596168 48773245210 78037192336 97546490420 156074384672 195092980840 390185961680 780371923360 814513195007 1629026390014 3258052780028 4072565975035 6516105560056 8145131950070 13032211120112 16290263900140 26064422240224 32580527800280 65161055600560 130322111201120