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201110120 = 23512234111
BaseRepresentation
bin10111111110010…
…11001001101000
3112000102110012222
423333023021220
5402441010440
631542253212
74661256611
oct1377131150
9460373188
10201110120
11a3581012
1257427208
1332885693
141c9d0c08
15129c82b5
hexbfcb268

201110120 has 32 divisors (see below), whose sum is σ = 452977920. Its totient is φ = 80358720.

The previous prime is 201110093. The next prime is 201110131. The reversal of 201110120 is 21011102.

201110120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 201110098 and 201110107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46865 + ... + 50975.

It is an arithmetic number, because the mean of its divisors is an integer number (14155560).

Almost surely, 2201110120 is an apocalyptic number.

201110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110120 is an abundant number, since it is smaller than the sum of its proper divisors (251867800).

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

201110120 is a wasteful number, since it uses less digits than its factorization.

201110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 201110120 is about 14181.3299799419. The cubic root of 201110120 is about 585.8835553940.

Adding to 201110120 its reverse (21011102), we get a palindrome (222121222).

The spelling of 201110120 in words is "two hundred one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1223 2446 4111 4892 6115 8222 9784 12230 16444 20555 24460 32888 41110 48920 82220 164440 5027753 10055506 20111012 25138765 40222024 50277530 100555060 201110120