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20001110221200 = 2435225785376031
BaseRepresentation
bin1001000110000110111110…
…00100011110000110010000
32121211002100202112120211110
410203003133010132012100
510110144233204034300
6110312214434013320
74133014104525243
oct443033704360620
977732322476743
1020001110221200
116411472323719
1222b0423417240
13b21134302b64
144d20b789b25a
1524a41c58a550
hex1230df11e190

20001110221200 has 240 divisors, whose sum is σ = 64395774406656. Its totient is φ = 5306577715200.

The previous prime is 20001110221193. The next prime is 20001110221207. The reversal of 20001110221200 is 212201110002.

It is an interprime number because it is at equal distance from previous prime (20001110221193) and next prime (20001110221207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×200011102212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20001110221207) by changing a digit.

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, 263027185 + ... + 263103215.

Almost surely, 220001110221200 is an apocalyptic number.

20001110221200 is a gapful number since it is divisible by the number (20) 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 20001110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32197887203328).

20001110221200 is an abundant number, since it is smaller than the sum of its proper divisors (44394664185456).

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

20001110221200 is a wasteful number, since it uses less digits than its factorization.

20001110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77162 (or 77151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001110221200 its reverse (212201110002), we get a palindrome (20213311331202).

The spelling of 20001110221200 in words is "twenty trillion, one billion, one hundred ten million, two hundred twenty-one thousand, two hundred".