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12111230102100 = 22352371723633257
BaseRepresentation
bin1011000000111101110110…
…0100010110101001010100
31120212211012110010202000120
42300033131210112221110
53041412244401231400
641431453341111540
72360002400203323
oct260173544265124
946784173122016
1012111230102100
11394a386720918
1214372a25585b0
1369b1129c054c
142dc2882ca0ba
15160092eecca0
hexb03dd916a54

12111230102100 has 144 divisors (see below), whose sum is σ = 36009846347328. Its totient is φ = 3140544476160.

The previous prime is 12111230102089. The next prime is 12111230102107. The reversal of 12111230102100 is 120103211121.

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 12111230102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111230102107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18808672 + ... + 19441928.

It is an arithmetic number, because the mean of its divisors is an integer number (250068377412).

Almost surely, 212111230102100 is an apocalyptic number.

12111230102100 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 12111230102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004923173664).

12111230102100 is an abundant number, since it is smaller than the sum of its proper divisors (23898616245228).

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

12111230102100 is a wasteful number, since it uses less digits than its factorization.

12111230102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635034 (or 635027 counting only the distinct ones).

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

Adding to 12111230102100 its reverse (120103211121), we get a palindrome (12231333313221).

The spelling of 12111230102100 in words is "twelve trillion, one hundred eleven billion, two hundred thirty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1723 1850 2220 2775 3446 3700 5169 5550 6892 8615 10338 11100 17230 20676 25845 34460 43075 51690 63751 86150 103380 127502 129225 172300 191253 255004 258450 318755 382506 516900 633257 637510 765012 956265 1266514 1275020 1593775 1899771 1912530 2533028 3166285 3187550 3799542 3825060 4781325 6332570 6375100 7599084 9498855 9562650 12665140 15831425 18997710 19125300 23430509 31662850 37995420 46861018 47494275 63325700 70291527 93722036 94988550 117152545 140583054 189977100 234305090 281166108 351457635 468610180 585762725 702915270 1091101811 1171525450 1405830540 1757288175 2182203622 2343050900 3273305433 3514576350 4364407244 5455509055 6546610866 7029152700 10911018110 13093221732 16366527165 21822036220 27277545275 32733054330 40370767007 54555090550 65466108660 80741534014 81832635825 109110181100 121112301021 161483068028 163665271650 201853835035 242224602042 327330543300 403707670070 484449204084 605561505105 807415340140 1009269175175 1211123010210 2018538350350 2422246020420 3027807525525 4037076700700 6055615051050 12111230102100