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20130110020 = 2251019965401
BaseRepresentation
bin10010101111110110…
…010001101001000100
31220221220100112122101
4102233312101221010
5312211302010040
613125254041444
71311562053256
oct225766215104
956856315571
1020130110020
11859aa16669
123a99649284
131b8a631507
14d8d6b3cd6
157cc3bc09a
hex4afd91a44

20130110020 has 24 divisors (see below), whose sum is σ = 42691782168. Its totient is φ = 7972320000.

The previous prime is 20130110017. The next prime is 20130110029. The reversal of 20130110020 is 2001103102.

It can be written as a sum of positive squares in 4 ways, for example, as 3316838464 + 16813271556 = 57592^2 + 129666^2 .

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 = 20130109979 and 20130110006.

It is not an unprimeable number, because it can be changed into a prime (20130110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4980681 + ... + 4984720.

It is an arithmetic number, because the mean of its divisors is an integer number (1778824257).

Almost surely, 220130110020 is an apocalyptic number.

20130110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130110020 is an abundant number, since it is smaller than the sum of its proper divisors (22561672148).

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

20130110020 is a wasteful number, since it uses less digits than its factorization.

20130110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965511 (or 9965509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20130110020 its reverse (2001103102), we get a palindrome (22131213122).

The spelling of 20130110020 in words is "twenty billion, one hundred thirty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 9965401 19930802 39861604 49827005 99654010 199308020 1006505501 2013011002 4026022004 5032527505 10065055010 20130110020