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1000222010200 = 235275313996979
BaseRepresentation
bin11101000111000011110…
…00001010101101011000
310112121202012011201020001
432203201320022231120
5112341423313311300
62043255020542344
7132156301544050
oct16434170125530
93477665151201
101000222010200
113562122814a6
12141a243b19b4
137342228b21a
14365a7b18560
151b040ebc16a
hexe8e1e0ab58

1000222010200 has 192 divisors, whose sum is σ = 2727387936000. Its totient is φ = 334038781440.

The previous prime is 1000222010131. The next prime is 1000222010239. The reversal of 1000222010200 is 20102220001.

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, 10265311 + ... + 10362289.

It is an arithmetic number, because the mean of its divisors is an integer number (14205145500).

Almost surely, 21000222010200 is an apocalyptic number.

1000222010200 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 1000222010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363693968000).

1000222010200 is an abundant number, since it is smaller than the sum of its proper divisors (1727165925800).

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

1000222010200 is a wasteful number, since it uses less digits than its factorization.

1000222010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97194 (or 97185 counting only the distinct ones).

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

Adding to 1000222010200 its reverse (20102220001), we get a palindrome (1020324230201).

The spelling of 1000222010200 in words is "one trillion, two hundred twenty-two million, ten thousand, two hundred".