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330203234131300 = 225297137248478617
BaseRepresentation
bin100101100010100010110111…
…0011110010101110101100100
31121022011010021010111220221101
41023011011232132111311210
5321240022210414200200
63130141134400125444
7126360252651606445
oct11305055636256544
91538133233456841
10330203234131300
1196238450317462
123104b723006884
1311233053bc229a
145b77cc96152cc
15282952599d26a
hex12c516e795d64

330203234131300 has 72 divisors (see below), whose sum is σ = 729212188073544. Its totient is φ = 129765472419840.

The previous prime is 330203234131241. The next prime is 330203234131301. The reversal of 330203234131300 is 3131432302033.

It can be written as a sum of positive squares in 12 ways, for example, as 13149384459264 + 317053849672036 = 3626208^2 + 17806006^2 .

It is not an unprimeable number, because it can be changed into a prime (330203234131301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122910409 + ... + 125568208.

It is an arithmetic number, because the mean of its divisors is an integer number (10127947056577).

Almost surely, 2330203234131300 is an apocalyptic number.

It is an amenable number.

330203234131300 is an abundant number, since it is smaller than the sum of its proper divisors (399008953942244).

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

330203234131300 is a wasteful number, since it uses less digits than its factorization.

330203234131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248478865 (or 248478858 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 330203234131300 its reverse (3131432302033), we get a palindrome (333334666433333).

The spelling of 330203234131300 in words is "three hundred thirty trillion, two hundred three billion, two hundred thirty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 137 194 274 388 485 548 685 970 1370 1940 2425 2740 3425 4850 6850 9700 13289 13700 26578 53156 66445 132890 265780 332225 664450 1328900 248478617 496957234 993914468 1242393085 2484786170 4969572340 6211965425 12423930850 24102425849 24847861700 34041570529 48204851698 68083141058 96409703396 120512129245 136166282116 170207852645 241024258490 340415705290 482048516980 602560646225 680831410580 851039263225 1205121292450 1702078526450 2410242584900 3302032341313 3404157052900 6604064682626 13208129365252 16510161706565 33020323413130 66040646826260 82550808532825 165101617065650 330203234131300