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201134112 = 25313915073
BaseRepresentation
bin10111111110100…
…01000000100000
3112000110200010120
423333101000200
5402442242422
631543000240
74661416554
oct1377210040
9460420116
10201134112
11a3598043
1257439080
133289358a
141c9d9864
15129d045c
hexbfd1020

201134112 has 48 divisors (see below), whose sum is σ = 531810720. Its totient is φ = 66557952.

The previous prime is 201134093. The next prime is 201134117. The reversal of 201134112 is 211431102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 201134091 and 201134100.

It is not an unprimeable number, because it can be changed into a prime (201134117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5808 + ... + 20880.

It is an arithmetic number, because the mean of its divisors is an integer number (11079390).

Almost surely, 2201134112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265905360).

201134112 is an abundant number, since it is smaller than the sum of its proper divisors (330676608).

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

201134112 is a wasteful number, since it uses less digits than its factorization.

201134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15225 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 201134112 is about 14182.1758556295. The cubic root of 201134112 is about 585.9068526790.

Adding to 201134112 its reverse (211431102), we get a palindrome (412565214).

The spelling of 201134112 in words is "two hundred one million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 15073 30146 45219 60292 90438 120584 180876 241168 361752 482336 723504 1447008 2095147 4190294 6285441 8380588 12570882 16761176 25141764 33522352 50283528 67044704 100567056 201134112