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200003310400 = 26521131106213
BaseRepresentation
bin1011101001000100100…
…0000101001101000000
3201010020120111212111211
42322101020011031000
511234101321413100
6231514045015504
720310161042215
oct2722110051500
9633216455454
10200003310400
1177903722373
1232918854594
1315b24c0abaa
149974703b0c
1553088ca1ba
hex2e91205340

200003310400 has 84 divisors (see below), whose sum is σ = 496488755052. Its totient is φ = 79293276160.

The previous prime is 200003310379. The next prime is 200003310467. The reversal of 200003310400 is 4013300002.

It can be written as a sum of positive squares in 6 ways, for example, as 8831488576 + 191171821824 = 93976^2 + 437232^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372307 + ... + 733906.

Almost surely, 2200003310400 is an apocalyptic number.

200003310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200003310400 is an abundant number, since it is smaller than the sum of its proper divisors (296485444652).

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

200003310400 is a wasteful number, since it uses less digits than its factorization.

200003310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106348 (or 1106333 counting only the distinct ones).

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

Adding to 200003310400 its reverse (4013300002), we get a palindrome (204016610402).

The spelling of 200003310400 in words is "two hundred billion, three million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 160 200 226 320 400 452 565 800 904 1130 1600 1808 2260 2825 3616 4520 5650 7232 9040 11300 18080 22600 36160 45200 90400 180800 1106213 2212426 4424852 5531065 8849704 11062130 17699408 22124260 27655325 35398816 44248520 55310650 70797632 88497040 110621300 125002069 176994080 221242600 250004138 353988160 442485200 500008276 625010345 884970400 1000016552 1250020690 1769940800 2000033104 2500041380 3125051725 4000066208 5000082760 6250103450 8000132416 10000165520 12500206900 20000331040 25000413800 40000662080 50000827600 100001655200 200003310400