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12001102131300 = 22352592332909993
BaseRepresentation
bin1010111010100011100101…
…1011011111000001100100
31120111021221102221011201020
42232220321123133001210
53033111224121200200
641305121420331140
72346023332663212
oct256507133370144
946437842834636
1012001102131300
113907703315417
121419a889a3ab0
13690911b38699
142d6bdc113cb2
1515c299a77ea0
hexaea396df064

12001102131300 has 144 divisors (see below), whose sum is σ = 35463282079680. Its totient is φ = 3132548188160.

The previous prime is 12001102131299. The next prime is 12001102131307. The reversal of 12001102131300 is 313120110021.

It is a happy number.

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 12001102131300.

It is not an unprimeable number, because it can be changed into a prime (12001102131307) by changing a digit.

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, 2669104 + ... + 5579096.

It is an arithmetic number, because the mean of its divisors is an integer number (246272792220).

Almost surely, 212001102131300 is an apocalyptic number.

12001102131300 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 12001102131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731641039840).

12001102131300 is an abundant number, since it is smaller than the sum of its proper divisors (23462179948380).

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

12001102131300 is a wasteful number, since it uses less digits than its factorization.

12001102131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910302 (or 2910295 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001102131300 its reverse (313120110021), we get a palindrome (12314222241321).

The spelling of 12001102131300 in words is "twelve trillion, one billion, one hundred two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 233 236 295 300 354 466 590 699 708 885 932 1165 1180 1398 1475 1770 2330 2796 2950 3495 3540 4425 4660 5825 5900 6990 8850 11650 13747 13980 17475 17700 23300 27494 34950 41241 54988 68735 69900 82482 137470 164964 206205 274940 343675 412410 687350 824820 1031025 1374700 2062050 2909993 4124100 5819986 8729979 11639972 14549965 17459958 29099930 34919916 43649895 58199860 72749825 87299790 145499650 171689587 174599580 218249475 290999300 343379174 436498950 515068761 678028369 686758348 858447935 872997900 1030137522 1356056738 1716895870 2034085107 2060275044 2575343805 2712113476 3390141845 3433791740 4068170214 4292239675 5150687610 6780283690 8136340428 8584479350 10170425535 10301375220 12876719025 13560567380 16950709225 17168958700 20340851070 25753438050 33901418450 40003673771 40681702140 50852127675 51506876100 67802836900 80007347542 101704255350 120011021313 160014695084 200018368855 203408510700 240022042626 400036737710 480044085252 600055106565 800073475420 1000091844275 1200110213130 2000183688550 2400220426260 3000275532825 4000367377100 6000551065650 12001102131300