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200210000002000 = 2453100105000001
BaseRepresentation
bin101101100001011100000101…
…111011100011101111010000
3222020212220000010200110221021
4231201130011323203233100
5202220220040000031000
61545451112042205224
760112460304012352
oct5541340573435720
9866786003613837
10200210000002000
115887a6475a000a
121a556057ab3814
1387939502993b1
143762303c690d2
151822dc53c211a
hexb61705ee3bd0

200210000002000 has 40 divisors (see below), whose sum is σ = 484107780009672. Its totient is φ = 80084000000000.

The previous prime is 200210000001971. The next prime is 200210000002039. The reversal of 200210000002000 is 200000012002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40193875538496 + 160016124463504 = 6339864^2 + 12649748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50052498001 + ... + 50052502000.

Almost surely, 2200210000002000 is an apocalyptic number.

200210000002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210000002000 is an abundant number, since it is smaller than the sum of its proper divisors (283897780007672).

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

200210000002000 is a wasteful number, since it uses less digits than its factorization.

200210000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000024 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200210000002000 its reverse (200000012002), we get a palindrome (200410000014002).

The spelling of 200210000002000 in words is "two hundred trillion, two hundred ten billion, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 100105000001 200210000002 400420000004 500525000005 800840000008 1001050000010 1601680000016 2002100000020 2502625000025 4004200000040 5005250000050 8008400000080 10010500000100 12513125000125 20021000000200 25026250000250 40042000000400 50052500000500 100105000001000 200210000002000