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2105154120200 = 235216216493381
BaseRepresentation
bin11110101000100100111…
…101101010101000001000
321110020202210212121221112
4132220210331222220020
5233442323423321300
64251032222425452
7305043452531045
oct36504475525010
97406683777845
102105154120200
1174187768a75a
1229bbaba32288
13123690b14a81
1473c662501cc
1539b5e963e35
hex1ea24f6aa08

2105154120200 has 48 divisors (see below), whose sum is σ = 4897503505860. Its totient is φ = 841542048000.

The previous prime is 2105154120143. The next prime is 2105154120241. The reversal of 2105154120200 is 20214515012.

It can be written as a sum of positive squares in 6 ways, for example, as 540598444516 + 1564555675684 = 735254^2 + 1250822^2 .

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, 2922491 + ... + 3570890.

Almost surely, 22105154120200 is an apocalyptic number.

2105154120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105154120200 is an abundant number, since it is smaller than the sum of its proper divisors (2792349385660).

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

2105154120200 is a wasteful number, since it uses less digits than its factorization.

2105154120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495018 (or 6495009 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 2105154120200 its reverse (20214515012), we get a palindrome (2125368635212).

The spelling of 2105154120200 in words is "two trillion, one hundred five billion, one hundred fifty-four million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1621 3242 6484 8105 12968 16210 32420 40525 64840 81050 162100 324200 6493381 12986762 25973524 32466905 51947048 64933810 129867620 162334525 259735240 324669050 649338100 1298676200 10525770601 21051541202 42103082404 52628853005 84206164808 105257706010 210515412020 263144265025 421030824040 526288530050 1052577060100 2105154120200