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1004382297000 = 233253111598033
BaseRepresentation
bin11101001110110011101…
…10011001101110101000
310120000111010111011211100
432213121312121232220
5112423433332001000
62045223514201400
7132364346443065
oct16473166315650
93500433434740
101004382297000
11357a57693555
121427a5723260
1373936170aa4
1436880473c6c
151b1d6354a00
hexe9d9d99ba8

1004382297000 has 96 divisors (see below), whose sum is σ = 3394812194280. Its totient is φ = 267835276800.

The previous prime is 1004382296989. The next prime is 1004382297001. The reversal of 1004382297000 is 7922834001.

It can be written as a sum of positive squares in 4 ways, for example, as 204920993124 + 799461303876 = 452682^2 + 894126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1004382297001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55790017 + ... + 55808016.

Almost surely, 21004382297000 is an apocalyptic number.

1004382297000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004382297000 is an abundant number, since it is smaller than the sum of its proper divisors (2390429897280).

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

1004382297000 is a wasteful number, since it uses less digits than its factorization.

1004382297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111598060 (or 111598043 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1004382297000 in words is "one trillion, four billion, three hundred eighty-two million, two hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 111598033 223196066 334794099 446392132 557990165 669588198 892784264 1004382297 1115980330 1339176396 1673970495 2008764594 2231960660 2678352792 2789950825 3347940990 4017529188 4463921320 5021911485 5579901650 6695881980 8035058376 8369852475 10043822970 11159803300 13391763960 13949754125 16739704950 20087645940 22319606600 25109557425 27899508250 33479409900 40175291880 41849262375 50219114850 55799016500 66958819800 83698524750 100438229700 111598033000 125547787125 167397049500 200876459400 251095574250 334794099000 502191148500 1004382297000