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2000122010100 = 2232522222357789
BaseRepresentation
bin11101000110110000100…
…011111101100111110100
321002012122221102121100200
4131012300203331213310
5230232222213310400
64130502100040500
7264334613400444
oct35066043754764
97065587377320
102000122010100
11701279805885
12283778993130
131167c29131b6
146cb40b70124
1537063a7db00
hex1d1b08fd9f4

2000122010100 has 54 divisors (see below), whose sum is σ = 6269271325590. Its totient is φ = 533365869120.

The previous prime is 2000122010099. The next prime is 2000122010149. The reversal of 2000122010100 is 10102210002.

It can be written as a sum of positive squares in 3 ways, for example, as 326317422564 + 1673804587536 = 571242^2 + 1293756^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 1111177995 + ... + 1111179794.

Almost surely, 22000122010100 is an apocalyptic number.

2000122010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000122010100 is an abundant number, since it is smaller than the sum of its proper divisors (4269149315490).

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

2000122010100 is a wasteful number, since it uses less digits than its factorization.

2000122010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222357809 (or 2222357799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000122010100 its reverse (10102210002), we get a palindrome (2010224220102).

The spelling of 2000122010100 in words is "two trillion, one hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2222357789 4444715578 6667073367 8889431156 11111788945 13334146734 20001220101 22223577890 26668293468 33335366835 40002440202 44447155780 55558944725 66670733670 80004880404 100006100505 111117889450 133341467340 166676834175 200012201010 222235778900 333353668350 400024402020 500030502525 666707336700 1000061005050 2000122010100