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2102120010 = 232523356889
BaseRepresentation
bin111110101001011…
…1100111001001010
312102111111202112200
41331102330321022
513301120320020
6544331421030
7103043503524
oct17522747112
95374452480
102102120010
11989656971
124a7bb4776
13276680ac3
1415d27ca14
15c4835590
hex7d4bce4a

2102120010 has 24 divisors (see below), whose sum is σ = 5465512260. Its totient is φ = 560565312.

The previous prime is 2102119997. The next prime is 2102120011. The reversal of 2102120010 is 100212012.

It can be written as a sum of positive squares in 2 ways, for example, as 2019873249 + 82246761 = 44943^2 + 9069^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102119974 and 2102120001.

It is not an unprimeable number, because it can be changed into a prime (2102120011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11678355 + ... + 11678534.

Almost surely, 22102120010 is an apocalyptic number.

2102120010 is an abundant number, since it is smaller than the sum of its proper divisors (3363392250).

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

2102120010 is a wasteful number, since it uses less digits than its factorization.

2102120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23356902 (or 23356899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102120010 is about 45848.8823200741. The cubic root of 2102120010 is about 1281.0099471427.

Adding to 2102120010 its reverse (100212012), we get a palindrome (2202332022).

The spelling of 2102120010 in words is "two billion, one hundred two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23356889 46713778 70070667 116784445 140141334 210212001 233568890 350353335 420424002 700706670 1051060005 2102120010