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1000104621200 = 245217147074209
BaseRepresentation
bin11101000110110101110…
…00010111010010010000
310112121110000021201210022
432203122320113102100
5112341203240334300
62043235224523012
7132153345006056
oct16433270272220
93477400251708
101000104621200
11356161a933a3
121419b1020468
1373403b69889
14365962bc1d6
151b035a30285
hexe8dae17490

1000104621200 has 60 divisors (see below), whose sum is σ = 2544089684580. Its totient is φ = 376509972480.

The previous prime is 1000104621179. The next prime is 1000104621211. The reversal of 1000104621200 is 21264010001.

It can be written as a sum of positive squares in 6 ways, for example, as 86191565056 + 913913056144 = 293584^2 + 955988^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73530305 + ... + 73543904.

It is an arithmetic number, because the mean of its divisors is an integer number (42401494743).

Almost surely, 21000104621200 is an apocalyptic number.

1000104621200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000104621200 is an abundant number, since it is smaller than the sum of its proper divisors (1543985063380).

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

1000104621200 is a wasteful number, since it uses less digits than its factorization.

1000104621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147074244 (or 147074233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1000104621200 its reverse (21264010001), we get a palindrome (1021368631201).

The spelling of 1000104621200 in words is "one trillion, one hundred four million, six hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 147074209 294148418 588296836 735371045 1176593672 1470742090 2353187344 2500261553 2941484180 3676855225 5000523106 5882968360 7353710450 10001046212 11765936720 12501307765 14707420900 20002092424 25002615530 29414841800 40004184848 50005231060 58829683600 62506538825 100010462120 125013077650 200020924240 250026155300 500052310600 1000104621200