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201112101300 = 2235211563108247
BaseRepresentation
bin1011101101001100110…
…1110010000110110100
3201020002211220021200110
42323103031302012310
511243334144220200
6232220054143020
720346513440565
oct2732315620664
9636084807613
10201112101300
11783225a1390
1232b88051a70
1315c70848c96
149a3ba9016c
155370deab50
hex2ed33721b4

201112101300 has 144 divisors (see below), whose sum is σ = 635916298752. Its totient is φ = 48667401600.

The previous prime is 201112101287. The next prime is 201112101301. The reversal of 201112101300 is 3101211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112101301) 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, 1803777 + ... + 1912023.

It is an arithmetic number, because the mean of its divisors is an integer number (4416085408).

Almost surely, 2201112101300 is an apocalyptic number.

201112101300 is a gapful number since it is divisible by the number (20) 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 201112101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317958149376).

201112101300 is an abundant number, since it is smaller than the sum of its proper divisors (434804197452).

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

201112101300 is a wasteful number, since it uses less digits than its factorization.

201112101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108838 (or 108831 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201112101300 its reverse (3101211102), we get a palindrome (204213312402).

The spelling of 201112101300 in words is "two hundred one billion, one hundred twelve million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 563 660 825 1100 1126 1650 1689 2252 2815 3300 3378 5630 6193 6756 8445 11260 12386 14075 16890 18579 24772 28150 30965 33780 37158 42225 56300 61930 74316 84450 92895 108247 123860 154825 168900 185790 216494 309650 324741 371580 432988 464475 541235 619300 649482 928950 1082470 1190717 1298964 1623705 1857900 2164940 2381434 2706175 3247410 3572151 4762868 5412350 5953585 6494820 7144302 8118525 10824700 11907170 14288604 16237050 17860755 23814340 29767925 32474100 35721510 59535850 60943061 71443020 89303775 119071700 121886122 178607550 182829183 243772244 304715305 357215100 365658366 609430610 670373671 731316732 914145915 1218861220 1340747342 1523576525 1828291830 2011121013 2681494684 3047153050 3351868355 3656583660 4022242026 4570729575 6094306100 6703736710 8044484052 9141459150 10055605065 13407473420 16759341775 18282918300 20111210130 33518683550 40222420260 50278025325 67037367100 100556050650 201112101300