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10012012222200 = 23352311505335759
BaseRepresentation
bin1001000110110001101001…
…1011101001011011111000
31022110010202100100100212220
42101230122123221123320
52303014100112102300
633143242132404040
72052225665504262
oct221543233513370
938403670310786
1010012012222200
11321008598338a
12115848a776620
135781899ac201
1426882660cb32
1512567e7c9da0
hex91b1a6e96f8

10012012222200 has 192 divisors, whose sum is σ = 32041463500800. Its totient is φ = 2583501196800.

The previous prime is 10012012222141. The next prime is 10012012222211. The reversal of 10012012222200 is 222221021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012012222200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 279967921 + ... + 280003679.

It is an arithmetic number, because the mean of its divisors is an integer number (166882622400).

Almost surely, 210012012222200 is an apocalyptic number.

10012012222200 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 10012012222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020731750400).

10012012222200 is an abundant number, since it is smaller than the sum of its proper divisors (22029451278600).

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

10012012222200 is a wasteful number, since it uses less digits than its factorization.

10012012222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50862 (or 50853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10012012222200 its reverse (222221021001), we get a palindrome (10234233243201).

The spelling of 10012012222200 in words is "ten trillion, twelve billion, twelve million, two hundred twenty-two thousand, two hundred".