Search a number
-
+
20112313010000 = 245419143973561
BaseRepresentation
bin1001001001010110000110…
…10001011100011101010000
32122012201101200012120020212
410210223003101130131100
510114010004112310000
6110435245151423252
74144031602610501
oct444530321343520
978181350176225
1020112313010000
116454647404862
122309a98b24b28
13b2b776a5c6c3
144d76266d8ba8
1524d27a06ec35
hex124ac345c750

20112313010000 has 200 divisors, whose sum is σ = 51293075961600. Its totient is φ = 7616108160000.

The previous prime is 20112313009991. The next prime is 20112313010003. The reversal of 20112313010000 is 1031321102.

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

It is a super-2 number, since 2×201123130100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112313010003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 273373220 + ... + 273446780.

It is an arithmetic number, because the mean of its divisors is an integer number (256465379808).

Almost surely, 220112313010000 is an apocalyptic number.

20112313010000 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 20112313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646537980800).

20112313010000 is an abundant number, since it is smaller than the sum of its proper divisors (31180762951600).

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

20112313010000 is a wasteful number, since it uses less digits than its factorization.

20112313010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75047 (or 75026 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20112313010000 its reverse (1031321102), we get a palindrome (20113344331102).

The spelling of 20112313010000 in words is "twenty trillion, one hundred twelve billion, three hundred thirteen million, ten thousand".