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2005282081100 = 225267299295833
BaseRepresentation
bin11101001011100100001…
…000000100100101001100
321002200222120000101001102
4131023210020010211030
5230323304203043400
64133114110202232
7264606521311304
oct35134410044514
97080876011042
102005282081100
11703487503571
12284778ab3378
1311713598894c
146d0b01bc604
1537266aa39d5
hex1d2e420494c

2005282081100 has 36 divisors (see below), whose sum is σ = 4416409326504. Its totient is φ = 790140996480.

The previous prime is 2005282081093. The next prime is 2005282081123. The reversal of 2005282081100 is 11802825002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149641217 + ... + 149654616.

Almost surely, 22005282081100 is an apocalyptic number.

2005282081100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005282081100 is an abundant number, since it is smaller than the sum of its proper divisors (2411127245404).

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

2005282081100 is a wasteful number, since it uses less digits than its factorization.

2005282081100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299295914 (or 299295907 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The spelling of 2005282081100 in words is "two trillion, five billion, two hundred eighty-two million, eighty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 299295833 598591666 1197183332 1496479165 2992958330 5985916660 7482395825 14964791650 20052820811 29929583300 40105641622 80211283244 100264104055 200528208110 401056416220 501320520275 1002641040550 2005282081100