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2100200000200 = 235261172147541
BaseRepresentation
bin11110100011111101101…
…011001100101011001000
321102202222112211020220121
4132203331223030223020
5233402202200001300
64244452450433024
7304506625311361
oct36437553145310
97382875736817
102100200000200
1173a76516a005
1229b048892774
1312308162b213
14739162d2b68
153996ea7181a
hex1e8fdaccac8

2100200000200 has 48 divisors (see below), whose sum is σ = 4963013635860. Its totient is φ = 826308192000.

The previous prime is 2100200000161. The next prime is 2100200000221. The reversal of 2100200000200 is 20000020012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 78235446436 + 2021964553764 = 279706^2 + 1421958^2 .

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 11 ways as a sum of consecutive naturals, for example, 86061571 + ... + 86085970.

Almost surely, 22100200000200 is an apocalyptic number.

2100200000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100200000200 is an abundant number, since it is smaller than the sum of its proper divisors (2862813635660).

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

2100200000200 is a wasteful number, since it uses less digits than its factorization.

2100200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172147618 (or 172147609 counting only the distinct ones).

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

Adding to 2100200000200 its reverse (20000020012), we get a palindrome (2120200020212).

The spelling of 2100200000200 in words is "two trillion, one hundred billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 172147541 344295082 688590164 860737705 1377180328 1721475410 3442950820 4303688525 6885901640 8607377050 10501000001 17214754100 21002000002 34429508200 42004000004 52505000005 84008000008 105010000010 210020000020 262525000025 420040000040 525050000050 1050100000100 2100200000200