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1000221002200 = 235274175123203
BaseRepresentation
bin11101000111000011101…
…00010100100111011000
310112121202010021111111201
432203201310110213120
5112341423034032300
62043254543203544
7132156260145220
oct16434164244730
93477663244451
101000221002200
11356211753142
12141a23ba65b4
1373421cc7484
14365a7935080
151b040d6d66a
hexe8e1d149d8

1000221002200 has 192 divisors, whose sum is σ = 2726295505920. Its totient is φ = 334108800000.

The previous prime is 1000221002171. The next prime is 1000221002219. The reversal of 1000221002200 is 22001220001.

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 47 ways as a sum of consecutive naturals, for example, 43095799 + ... + 43119001.

It is an arithmetic number, because the mean of its divisors is an integer number (14199455760).

Almost surely, 21000221002200 is an apocalyptic number.

1000221002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000221002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363147752960).

1000221002200 is an abundant number, since it is smaller than the sum of its proper divisors (1726074503720).

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

1000221002200 is a wasteful number, since it uses less digits than its factorization.

1000221002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24018 (or 24009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000221002200 its reverse (22001220001), we get a palindrome (1022222222201).

The spelling of 1000221002200 in words is "one trillion, two hundred twenty-one million, two thousand, two hundred".