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12010213313100 = 22335210144041853
BaseRepresentation
bin1010111011000101100001…
…1111111000101001001100
31120112011110102020011111000
42232301120133320221030
53033233404102004400
641313225452500300
72346465165520362
oct256613037705114
946464412204430
1012010213313100
113910559345132
12141b7b017a690
13691734645c12
142d74241cb632
1515c62e8b7600
hexaec587f8a4c

12010213313100 has 144 divisors (see below), whose sum is σ = 38992895857440. Its totient is φ = 3171013344000.

The previous prime is 12010213313083. The next prime is 12010213313141. The reversal of 12010213313100 is 131331201021.

12010213313100 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 21 + 331 + 310 + 0 = 666.

It is a super-2 number, since 2×120102133131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21748227 + ... + 22293626.

It is an arithmetic number, because the mean of its divisors is an integer number (270783999010).

Almost surely, 212010213313100 is an apocalyptic number.

12010213313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010213313100 is an abundant number, since it is smaller than the sum of its proper divisors (26982682544340).

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

12010213313100 is a wasteful number, since it uses less digits than its factorization.

12010213313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44041977 (or 44041964 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12010213313100 its reverse (131331201021), we get a palindrome (12141544514121).

The spelling of 12010213313100 in words is "twelve trillion, ten billion, two hundred thirteen million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 101 108 135 150 180 202 225 270 300 303 404 450 505 540 606 675 900 909 1010 1212 1350 1515 1818 2020 2525 2700 2727 3030 3636 4545 5050 5454 6060 7575 9090 10100 10908 13635 15150 18180 22725 27270 30300 45450 54540 68175 90900 136350 272700 44041853 88083706 132125559 176167412 220209265 264251118 396376677 440418530 528502236 660627795 792753354 880837060 1101046325 1189130031 1321255590 1585506708 1981883385 2202092650 2378260062 2642511180 3303138975 3963766770 4404185300 4448227153 4756520124 5945650155 6606277950 7927533540 8896454306 9909416925 11891300310 13212555900 13344681459 17792908612 19818833850 22241135765 23782600620 26689362918 29728250775 39637667700 40034044377 44482271530 53378725836 59456501550 66723407295 80068088754 88964543060 111205678825 118913003100 120102133131 133446814590 160136177508 200170221885 222411357650 240204266262 266893629180 333617036475 400340443770 444822715300 480408532524 600510665655 667234072950 800680887540 1000851109425 1201021331310 1334468145900 2001702218850 2402042662620 3002553328275 4003404437700 6005106656550 12010213313100