Base | Representation |
---|---|
bin | 1110010100011… |
… | …00011110001000 |
3 | 22101000101002211 |
4 | 13022030132020 |
5 | 221222104112 |
6 | 15530234504 |
7 | 2655641524 |
oct | 712143610 |
9 | 271011084 |
10 | 120113032 |
11 | 61889776 |
12 | 34285a34 |
13 | 1bb66500 |
14 | 11d48d84 |
15 | a8290a7 |
hex | 728c788 |
120113032 has 48 divisors (see below), whose sum is σ = 247412340. Its totient is φ = 54632448.
The previous prime is 120113029. The next prime is 120113033. The reversal of 120113032 is 230311021.
It can be written as a sum of positive squares in 6 ways, for example, as 13734436 + 106378596 = 3706^2 + 10314^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120113033) 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, 98088 + ... + 99304.
Almost surely, 2120113032 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 120113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123706170).
120113032 is an abundant number, since it is smaller than the sum of its proper divisors (127299308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120113032 is a wasteful number, since it uses less digits than its factorization.
120113032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 120113032 is about 10959.6091171173. The cubic root of 120113032 is about 493.3972334240.
Adding to 120113032 its reverse (230311021), we get a palindrome (350424053).
The spelling of 120113032 in words is "one hundred twenty million, one hundred thirteen thousand, thirty-two".
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