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20320010020 = 2253727459473
BaseRepresentation
bin10010111011001010…
…101011111100100100
31221110010200110110201
4102323022223330210
5313103410310040
613200200200244
71316356143502
oct227312537444
957403613421
1020320010020
118688130312
123b31169084
131bbaa9058b
14daa9c7672
157dddcda9a
hex4bb2abf24

20320010020 has 24 divisors (see below), whose sum is σ = 43825320504. Its totient is φ = 7908327936.

The previous prime is 20320009981. The next prime is 20320010021. The reversal of 20320010020 is 2001002302.

It can be written as a sum of positive squares in 4 ways, for example, as 10337602276 + 9982407744 = 101674^2 + 99912^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20320009979 and 20320010006.

It is not an unprimeable number, because it can be changed into a prime (20320010021) 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 7 ways as a sum of consecutive naturals, for example, 13728997 + ... + 13730476.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055021).

Almost surely, 220320010020 is an apocalyptic number.

20320010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320010020 is an abundant number, since it is smaller than the sum of its proper divisors (23505310484).

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

20320010020 is a wasteful number, since it uses less digits than its factorization.

20320010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27459519 (or 27459517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20320010020 its reverse (2001002302), we get a palindrome (22321012322).

The spelling of 20320010020 in words is "twenty billion, three hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 27459473 54918946 109837892 137297365 274594730 549189460 1016000501 2032001002 4064002004 5080002505 10160005010 20320010020