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203345066100 = 2235211193243143
BaseRepresentation
bin1011110101100001001…
…1110111100001110100
3201102212110121122112110
42331120103313201310
511312422314103400
6233225422251020
720456036354211
oct2753023674164
9642773548473
10203345066100
1179268a96940
12334aba26a70
131623834cc27
149bb046cb08
155451e79e50
hex2f584f7874

203345066100 has 144 divisors (see below), whose sum is σ = 675611758080. Its totient is φ = 46701244800.

The previous prime is 203345066083. The next prime is 203345066107. The reversal of 203345066100 is 1660543302.

203345066100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203345066107) 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, 1558872 + ... + 1684271.

It is an arithmetic number, because the mean of its divisors is an integer number (4691748320).

Almost surely, 2203345066100 is an apocalyptic number.

203345066100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203345066100 is an abundant number, since it is smaller than the sum of its proper divisors (472266691980).

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

203345066100 is a wasteful number, since it uses less digits than its factorization.

203345066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243190 (or 3243183 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 203345066100 in words is "two hundred three billion, three hundred forty-five million, sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 3243143 6486286 9729429 12972572 16215715 19458858 32431430 35674573 38917716 48647145 61619717 64862860 71349146 81078575 97294290 107023719 123239434 142698292 162157150 178372865 184859151 194588580 214047438 243235725 246478868 308098585 324314300 356745730 369718302 428094876 486471450 535118595 616197170 677816887 713491460 739436604 891864325 924295755 972942900 1070237190 1232394340 1355633774 1540492925 1783728650 1848591510 2033450661 2140474380 2675592975 2711267548 3080985850 3389084435 3567457300 3697183020 4066901322 4621478775 5351185950 6161971700 6778168870 8133802644 9242957550 10167253305 10702371900 13556337740 16945422175 18485915100 20334506610 33890844350 40669013220 50836266525 67781688700 101672533050 203345066100