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20132323000020 = 223257114341980621
BaseRepresentation
bin1001001001111011010111…
…11101011111111011010100
32122021122001012112101020100
410210331223331133323110
510114321444142000040
6110452354515134100
74145340505663020
oct444755375377324
978248035471210
1020132323000020
1164620855374a0
1223119422a4330
13b3061552449a
144d85a4061380
1524da4bb10b30
hex124f6bf5fed4

20132323000020 has 576 divisors, whose sum is σ = 78094313256960. Its totient is φ = 4076250393600.

The previous prime is 20132323000003. The next prime is 20132323000067. The reversal of 20132323000020 is 2000032323102.

It is a happy number.

20132323000020 is a `hidden beast` number, since 20 + 1 + 323 + 2 + 300 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20132322999957 and 20132323000002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249675310 + ... + 249755930.

It is an arithmetic number, because the mean of its divisors is an integer number (135580404960).

Almost surely, 220132323000020 is an apocalyptic number.

20132323000020 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 20132323000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39047156628480).

20132323000020 is an abundant number, since it is smaller than the sum of its proper divisors (57961990256940).

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

20132323000020 is a wasteful number, since it uses less digits than its factorization.

20132323000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81116 (or 81111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20132323000020 its reverse (2000032323102), we get a palindrome (22132355323122).

The spelling of 20132323000020 in words is "twenty trillion, one hundred thirty-two billion, three hundred twenty-three million, twenty", and thus it is an aban number.