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210110110120 = 23510152007453
BaseRepresentation
bin1100001110101110001…
…0011101100110101000
3202002022221020111022101
43003223202131212220
511420301142010440
6240305004503144
721115503316501
oct3035342354650
9662287214271
10210110110120
118111a752609
123487954aab4
1316a75a7cb61
14a252b07ba8
1556ead3269a
hex30eb89d9a8

210110110120 has 32 divisors (see below), whose sum is σ = 477428427720. Its totient is φ = 83211923200.

The previous prime is 210110110099. The next prime is 210110110127. The reversal of 210110110120 is 21011011012.

210110110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204736340484 + 5373769636 = 452478^2 + 73306^2 .

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 = 210110110097 and 210110110106.

It is not an unprimeable number, because it can be changed into a prime (210110110127) 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, 25999687 + ... + 26007766.

Almost surely, 2210110110120 is an apocalyptic number.

210110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110110120 is an abundant number, since it is smaller than the sum of its proper divisors (267318317600).

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

210110110120 is a wasteful number, since it uses less digits than its factorization.

210110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52007565 (or 52007561 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

210110110120 divided by its sum of digits (10) gives a palindrome (21011011012).

Adding to 210110110120 its reverse (21011011012), we get a palindrome (231121121132).

The spelling of 210110110120 in words is "two hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 52007453 104014906 208029812 260037265 416059624 520074530 1040149060 2080298120 5252752753 10505505506 21011011012 26263763765 42022022024 52527527530 105055055060 210110110120