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1200010010100 = 2235211233058127
BaseRepresentation
bin10001011101100110001…
…010111001110111110100
311020201102202112200020220
4101131212022321313310
5124130110030310400
62315135455054340
7152461236534006
oct21354612716764
94221382480226
101200010010100
11422a15403900
121746a0b113b0
13892116b1045
144211b9b2376
1521335a167a0
hex117662b9df4

1200010010100 has 108 divisors (see below), whose sum is σ = 3816362528832. Its totient is φ = 290911508800.

The previous prime is 1200010010083. The next prime is 1200010010113. The reversal of 1200010010100 is 10100100021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16492764 + ... + 16565363.

Almost surely, 21200010010100 is an apocalyptic number.

1200010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200010010100 is an abundant number, since it is smaller than the sum of its proper divisors (2616352518732).

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

1200010010100 is a wasteful number, since it uses less digits than its factorization.

1200010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33058166 (or 33058148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1200010010100 its reverse (10100100021), we get a palindrome (1210110110121).

The spelling of 1200010010100 in words is "one trillion, two hundred billion, ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 33058127 66116254 99174381 132232508 165290635 198348762 330581270 363639397 396697524 495871905 661162540 727278794 826453175 991743810 1090918191 1454557588 1652906350 1818196985 1983487620 2181836382 2479359525 3305812700 3636393970 4000033367 4363672764 4958719050 5454590955 7272787940 8000066734 9090984925 9917438100 10909181910 12000100101 16000133468 18181969850 20000166835 21818363820 24000200202 27272954775 36363939700 40000333670 48000400404 54545909550 60000500505 80000667340 100000834175 109091819100 120001001010 200001668350 240002002020 300002502525 400003336700 600005005050 1200010010100