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20111200132320 = 25335112621161471
BaseRepresentation
bin1001001001010100000001…
…11100001001110011100000
32122012121112010010112002000
410210222000330021303200
510114000214213213240
6110434542514524000
74143662200401243
oct444520074116340
978177463115060
1020111200132320
1164541261a4340
122309828296600
13b2b62a3203bb
144d755c9a725a
1524d2124e3430
hex124a80f09ce0

20111200132320 has 384 divisors, whose sum is σ = 76817991720960. Its totient is φ = 4873552128000.

The previous prime is 20111200132249. The next prime is 20111200132349. The reversal of 20111200132320 is 2323100211102.

20111200132320 is a `hidden beast` number, since 2 + 0 + 1 + 11 + 200 + 132 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20111200132293 and 20111200132302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124469185 + ... + 124630655.

It is an arithmetic number, because the mean of its divisors is an integer number (200046853440).

Almost surely, 220111200132320 is an apocalyptic number.

20111200132320 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 20111200132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38408995860480).

20111200132320 is an abundant number, since it is smaller than the sum of its proper divisors (56706791588640).

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

20111200132320 is a wasteful number, since it uses less digits than its factorization.

20111200132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164127 (or 164113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20111200132320 its reverse (2323100211102), we get a palindrome (22434300343422).

The spelling of 20111200132320 in words is "twenty trillion, one hundred eleven billion, two hundred million, one hundred thirty-two thousand, three hundred twenty".