Search a number
-
+
20112201000020 = 225172331717316007
BaseRepresentation
bin1001001001010101111001…
…00110001010010001010100
32122012201002212102212110002
410210222330212022101110
510114004241424000040
6110435230110550432
74144026042545003
oct444527446122124
978181085385402
1020112201000020
11645459a160028
122309a67508418
13b2b7597a24cc
144d761589cc3a
1524d2702e6a15
hex124abc98a454

20112201000020 has 384 divisors, whose sum is σ = 49520418619392. Its totient is φ = 6815021875200.

The previous prime is 20112200999999. The next prime is 20112201000049. The reversal of 20112201000020 is 2000010221102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20112200999965 and 20112201000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1256454857 + ... + 1256470863.

It is an arithmetic number, because the mean of its divisors is an integer number (128959423488).

Almost surely, 220112201000020 is an apocalyptic number.

20112201000020 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 20112201000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760209309696).

20112201000020 is an abundant number, since it is smaller than the sum of its proper divisors (29408217619372).

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

20112201000020 is a wasteful number, since it uses less digits than its factorization.

20112201000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16231 (or 16229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20112201000020 its reverse (2000010221102), we get a palindrome (22112211221122).

The spelling of 20112201000020 in words is "twenty trillion, one hundred twelve billion, two hundred one million, twenty", and thus it is an aban number.