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1022002200200 = 23525110011001
BaseRepresentation
bin11101101111101000001…
…00111111111010001000
310121200222002110000001202
432313310010333322020
5113221030030401300
62101300142003332
7133560111240212
oct16676404777210
93550862400052
101022002200200
11364479664623
121460a2576548
13754b370b107
14376725db5b2
151b8b817bad5
hexedf413fe88

1022002200200 has 24 divisors (see below), whose sum is σ = 2376155115930. Its totient is φ = 408800880000.

The previous prime is 1022002200199. The next prime is 1022002200223. The reversal of 1022002200200 is 20022002201.

It can be written as a sum of positive squares in 3 ways, for example, as 582404027716 + 439598172484 = 763154^2 + 663022^2 .

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 5 ways as a sum of consecutive naturals, for example, 2555005301 + ... + 2555005700.

Almost surely, 21022002200200 is an apocalyptic number.

1022002200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022002200200 is an abundant number, since it is smaller than the sum of its proper divisors (1354152915730).

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

1022002200200 is a wasteful number, since it uses less digits than its factorization.

1022002200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110011017 (or 5110011008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1022002200200 its reverse (20022002201), we get a palindrome (1042024202401).

The spelling of 1022002200200 in words is "one trillion, twenty-two billion, two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5110011001 10220022002 20440044004 25550055005 40880088008 51100110010 102200220020 127750275025 204400440040 255500550050 511001100100 1022002200200