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10012210002200 = 2352731613781903
BaseRepresentation
bin1001000110110010011000…
…1110000111100100011000
31022110011021010111122001002
42101230212032013210120
52303020001230032300
633143313515444132
72052233616554330
oct221544616074430
938404233448032
1010012210002200
11321017758a42a
121158524a56648
135781bb969bb3
142688449b40c0
15125691d465d5
hex91b26387918

10012210002200 has 192 divisors, whose sum is σ = 27912266833920. Its totient is φ = 3267563328000.

The previous prime is 10012210002187. The next prime is 10012210002217. The reversal of 10012210002200 is 220001221001.

It is a happy number.

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, 756449 + ... + 4538351.

It is an arithmetic number, because the mean of its divisors is an integer number (145376389760).

Almost surely, 210012210002200 is an apocalyptic number.

10012210002200 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 10012210002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956133416960).

10012210002200 is an abundant number, since it is smaller than the sum of its proper divisors (17900056831720).

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

10012210002200 is a wasteful number, since it uses less digits than its factorization.

10012210002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782018 (or 3782009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10012210002200 its reverse (220001221001), we get a palindrome (10232211223201).

The spelling of 10012210002200 in words is "ten trillion, twelve billion, two hundred ten million, two thousand, two hundred".