Search a number
-
+
20001120320000 = 295471880331
BaseRepresentation
bin1001000110000110111111…
…01010111111101000000000
32121211002101110112122210002
410203003133222333220000
510110144243300220000
6110312215434255132
74133014256415641
oct443033752775000
977732343478702
1020001120320000
116411477aa1036
1222b04268874a8
13b2113642a691
144d20b8d696c8
1524a41d3d28d5
hex1230dfabfa00

20001120320000 has 200 divisors, whose sum is σ = 50641394091552. Its totient is φ = 7887756800000.

The previous prime is 20001120319991. The next prime is 20001120320003. The reversal of 20001120320000 is 2302110002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×200011203200003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20001120320003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22279835 + ... + 23160165.

Almost surely, 220001120320000 is an apocalyptic number.

20001120320000 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 20001120320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25320697045776).

20001120320000 is an abundant number, since it is smaller than the sum of its proper divisors (30640273771552).

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

20001120320000 is an frugal number, since it uses more digits than its factorization.

20001120320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880440 (or 880409 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20001120320000 its reverse (2302110002), we get a palindrome (20003422430002).

The spelling of 20001120320000 in words is "twenty trillion, one billion, one hundred twenty million, three hundred twenty thousand".