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130011021121200 = 24352198915446811
BaseRepresentation
bin11101100011111010001100…
…101110110001011010110000
3122001022221011121012020211220
4131203322030232301122300
5114020100032401334300
61140302123310505040
736245662205533242
oct3543721456613260
9561287147166756
10130011021121200
113847540105175a
12126b900bb05180
135770ca999638b
1424167d1baa092
151006d41e0ada0
hex763e8cbb16b0

130011021121200 has 120 divisors (see below), whose sum is σ = 416489651664576. Its totient is φ = 34667856288000.

The previous prime is 130011021121199. The next prime is 130011021121231. The reversal of 130011021121200 is 2121120110031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1300110211212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130011021121200.

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, 21145795 + ... + 26592605.

Almost surely, 2130011021121200 is an apocalyptic number.

130011021121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130011021121200 is an abundant number, since it is smaller than the sum of its proper divisors (286478630543376).

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

130011021121200 is a wasteful number, since it uses less digits than its factorization.

130011021121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466723 (or 5466712 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 130011021121200 its reverse (2121120110031), we get a palindrome (132132141231231).

The spelling of 130011021121200 in words is "one hundred thirty trillion, eleven billion, twenty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 19891 39782 59673 79564 99455 119346 159128 198910 238692 298365 318256 397820 477384 497275 596730 795640 954768 994550 1193460 1491825 1591280 1989100 2386920 2983650 3978200 4773840 5446811 5967300 7956400 10893622 11934600 16340433 21787244 23869200 27234055 32680866 43574488 54468110 65361732 81702165 87148976 108936220 130723464 136170275 163404330 217872440 261446928 272340550 326808660 408510825 435744880 544681100 653617320 817021650 1089362200 1307234640 1634043300 2178724400 3268086600 6536173200 108342517601 216685035202 325027552803 433370070404 541712588005 650055105606 866740140808 1083425176010 1300110211212 1625137764015 1733480281616 2166850352020 2600220422424 2708562940025 3250275528030 4333700704040 5200440844848 5417125880050 6500551056060 8125688820075 8667401408080 10834251760100 13001102112120 16251377640150 21668503520200 26002204224240 32502755280300 43337007040400 65005510560600 130011021121200