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203320012000 = 2553721037347
BaseRepresentation
bin1011110101011011010…
…0010010110011100000
3201102210201110202202211
42331112310102303200
511312344410341000
6233223125251504
720455313405200
oct2752664226340
9642721422684
10203320012000
1179255934376
12334a3563b94
13162330ba211
149baadca400
15544eb7b7ba
hex2f56d12ce0

203320012000 has 144 divisors (see below), whose sum is σ = 581118200208. Its totient is φ = 69709651200.

The previous prime is 203320011949. The next prime is 203320012009. The reversal of 203320012000 is 210023302.

It is a happy number.

203320012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203320012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322674 + ... + 714673.

It is an arithmetic number, because the mean of its divisors is an integer number (4035543057).

Almost surely, 2203320012000 is an apocalyptic number.

203320012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203320012000 is an abundant number, since it is smaller than the sum of its proper divisors (377798188208).

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

203320012000 is a wasteful number, since it uses less digits than its factorization.

203320012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037386 (or 1037361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 203320012000 its reverse (210023302), we get a palindrome (203530035302).

The spelling of 203320012000 in words is "two hundred three billion, three hundred twenty million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 1037347 2074694 4149388 5186735 7261429 8298776 10373470 14522858 16597552 20746940 25933675 29045716 33195104 36307145 41493880 50830003 51867350 58091432 72614290 82987760 101660006 103734700 116182864 129668375 145228580 165975520 181535725 203320012 207469400 232365728 254150015 259336750 290457160 363071450 406640024 414938800 508300030 518673500 580914320 726142900 813280048 829877600 907678625 1016600060 1037347000 1161828640 1270750075 1452285800 1626560096 1815357250 2033200120 2074694000 2541500150 2904571600 3630714500 4066400240 4149388000 5083000300 5809143200 6353750375 7261429000 8132800480 10166000600 12707500750 14522858000 20332001200 25415001500 29045716000 40664002400 50830003000 101660006000 203320012000