Search a number
-
+
20020011110000 = 245411318217151
BaseRepresentation
bin1001000110101010001011…
…01001101000111001110000
32121212220010222220012221222
410203111011221220321300
510111001440321010000
6110325022141404212
74134253352450306
oct443250551507160
977786128805858
1020020011110000
116419491395180
1222b4019269668
13b22b5707b525
144d2d8bbd6276
1524ab76a98a85
hex123545a68e70

20020011110000 has 400 divisors, whose sum is σ = 54656683462656. Its totient is φ = 7035600000000.

The previous prime is 20020011109957. The next prime is 20020011110027. The reversal of 20020011110000 is 1111002002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20020011110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2799606425 + ... + 2799613575.

Almost surely, 220020011110000 is an apocalyptic number.

20020011110000 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 20020011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328341731328).

20020011110000 is an abundant number, since it is smaller than the sum of its proper divisors (34636672352656).

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

20020011110000 is a wasteful number, since it uses less digits than its factorization.

20020011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20020011110000 its reverse (1111002002), we get a palindrome (20021122112002).

The spelling of 20020011110000 in words is "twenty trillion, twenty billion, eleven million, one hundred ten thousand".