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1001002020200 = 235271355000111
BaseRepresentation
bin11101001000100000101…
…11101010110101101000
310112200202112220022210022
432210100113222311220
5112400023004121300
62043504243140012
7132214522532510
oct16442027526550
93480675808708
101001002020200
113565825a9566
12142001674608
1373517a623c0
143663d55c840
151b0896e6285
hexe9105ead68

1001002020200 has 96 divisors (see below), whose sum is σ = 2864405832960. Its totient is φ = 316800633600.

The previous prime is 1001002020197. The next prime is 1001002020211. The reversal of 1001002020200 is 20202001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 27481856 + ... + 27518255.

It is an arithmetic number, because the mean of its divisors is an integer number (29837560760).

Almost surely, 21001002020200 is an apocalyptic number.

1001002020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002020200 is an abundant number, since it is smaller than the sum of its proper divisors (1863403812760).

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

1001002020200 is a wasteful number, since it uses less digits than its factorization.

1001002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000147 (or 55000138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1001002020200 its reverse (20202001001), we get a palindrome (1021204021201).

The spelling of 1001002020200 in words is "one trillion, one billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 55000111 110000222 220000444 275000555 385000777 440000888 550001110 715001443 770001554 1100002220 1375002775 1430002886 1540003108 1925003885 2200004440 2750005550 2860005772 3080006216 3575007215 3850007770 5005010101 5500011100 5720011544 7150014430 7700015540 9625019425 10010020202 11000022200 14300028860 15400031080 17875036075 19250038850 20020040404 25025050505 28600057720 35750072150 38500077700 40040080808 50050101010 71500144300 77000155400 100100202020 125125252525 143000288600 200200404040 250250505050 500501010100 1001002020200