Search a number
-
+
20112110112000 = 283531240916883
BaseRepresentation
bin1001001001010101101110…
…01011011100110100000000
32122012200212112102021112010
410210222313023130310000
510114004100142041000
6110435213102532520
74144023560163234
oct444526713346400
978180775367463
1020112110112000
116454552922565
122309a40b97140
13b2b7439cc30a
144d76077a05c4
1524d267341d50
hex124ab72dcd00

20112110112000 has 288 divisors, whose sum is σ = 66811714220160. Its totient is φ = 5362479513600.

The previous prime is 20112110111999. The next prime is 20112110112007. The reversal of 20112110112000 is 21101121102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112110112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191255559 + ... + 1191272441.

It is an arithmetic number, because the mean of its divisors is an integer number (231985118820).

Almost surely, 220112110112000 is an apocalyptic number.

20112110112000 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 20112110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33405857110080).

20112110112000 is an abundant number, since it is smaller than the sum of its proper divisors (46699604108160).

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

20112110112000 is a wasteful number, since it uses less digits than its factorization.

20112110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29326 (or 29302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20112110112000 its reverse (21101121102), we get a palindrome (20133211233102).

The spelling of 20112110112000 in words is "twenty trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand".