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10022220122200 = 235211131013469577
BaseRepresentation
bin1001000111010111101011…
…0111101100100001011000
31022111010002202022102012021
42101311322313230201120
52303201001322402300
633152051103224224
72053036646305546
oct221657267544130
938433082272167
1010022220122200
113214443a86780
12115a4592a8074
1357912578b720
1426911420cd96
15125a7aa52d1a
hex91d7adec858

10022220122200 has 192 divisors, whose sum is σ = 27646430202720. Its totient is φ = 3330792960000.

The previous prime is 10022220122179. The next prime is 10022220122219. The reversal of 10022220122200 is 222102222001.

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, 1153812 + ... + 4623388.

Almost surely, 210022220122200 is an apocalyptic number.

10022220122200 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 10022220122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823215101360).

10022220122200 is an abundant number, since it is smaller than the sum of its proper divisors (17624210080520).

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

10022220122200 is a wasteful number, since it uses less digits than its factorization.

10022220122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469718 (or 3469709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10022220122200 its reverse (222102222001), we get a palindrome (10244322344201).

The spelling of 10022220122200 in words is "ten trillion, twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".