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20111203332000 = 25325311237124781
BaseRepresentation
bin1001001001010100000010…
…01000010110111110100000
32122012121112100011002012200
410210222001020112332200
510114000221023111000
6110434543111253200
74143662236525614
oct444520110267640
978177470132180
1020111203332000
116454127a8a300
12230982937a200
13b2b62aba08c1
144d755d19b344
1524d212926500
hex124a81216fa0

20111203332000 has 864 divisors, whose sum is σ = 80574140202192. Its totient is φ = 4743636480000.

The previous prime is 20111203331977. The next prime is 20111203332013. The reversal of 20111203332000 is 23330211102.

20111203332000 is a `hidden beast` number, since 2 + 0 + 11 + 120 + 333 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4100673600144 + 16010529731856 = 2025012^2 + 4001316^2 .

It is a super-2 number, since 2×201112033320002 (a number of 27 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 161109610 + ... + 161234390.

Almost surely, 220111203332000 is an apocalyptic number.

20111203332000 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 20111203332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287070101096).

20111203332000 is an abundant number, since it is smaller than the sum of its proper divisors (60462936870192).

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

20111203332000 is a wasteful number, since it uses less digits than its factorization.

20111203332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124871 (or 124839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20111203332000 its reverse (23330211102), we get a palindrome (20134533543102).

The spelling of 20111203332000 in words is "twenty trillion, one hundred eleven billion, two hundred three million, three hundred thirty-two thousand".