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2000105200 = 24525000263
BaseRepresentation
bin111011100110111…
…0010111011110000
312011101112212112101
41313031302323300
513044011331300
6530245110144
7100364420332
oct16715627360
95141485471
102000105200
11937009705
124799b8354
1325b4b3202
1414d8c5452
15ba8d3b6a
hex77372ef0

2000105200 has 30 divisors (see below), whose sum is σ = 4805253704. Its totient is φ = 800041920.

The previous prime is 2000105183. The next prime is 2000105291. The reversal of 2000105200 is 25010002.

It is a super-2 number, since 2×20001052002 = 8000841622134080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2499732 + ... + 2500531.

Almost surely, 22000105200 is an apocalyptic number.

2000105200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000105200 is an abundant number, since it is smaller than the sum of its proper divisors (2805148504).

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

2000105200 is a wasteful number, since it uses less digits than its factorization.

2000105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000281 (or 5000270 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2000105200 is about 44722.5357062857. The cubic root of 2000105200 is about 1259.9431401233.

Adding to 2000105200 its reverse (25010002), we get a palindrome (2025115202).

The spelling of 2000105200 in words is "two billion, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5000263 10000526 20001052 25001315 40002104 50002630 80004208 100005260 125006575 200010520 250013150 400021040 500026300 1000052600 2000105200