Base | Representation |
---|---|
bin | 1111100101001… |
… | …01100000000000 |
3 | 100002221022111100 |
4 | 13302211200000 |
5 | 231424420222 |
6 | 20545214400 |
7 | 3144641250 |
oct | 762454000 |
9 | 302838440 |
10 | 130701312 |
11 | 67860915 |
12 | 37931400 |
13 | 21102a71 |
14 | 13503960 |
15 | b71b4ac |
hex | 7ca5800 |
130701312 has 144 divisors (see below), whose sum is σ = 431842320. Its totient is φ = 37306368.
The previous prime is 130701299. The next prime is 130701331. The reversal of 130701312 is 213107031.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128518 + ... + 129530.
It is an arithmetic number, because the mean of its divisors is an integer number (2998905).
Almost surely, 2130701312 is an apocalyptic number.
130701312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215921160).
130701312 is an abundant number, since it is smaller than the sum of its proper divisors (301141008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130701312 is a wasteful number, since it uses less digits than its factorization.
130701312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1048 (or 1025 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 18.
The square root of 130701312 is about 11432.4674502051. The cubic root of 130701312 is about 507.4890185042.
Adding to 130701312 its reverse (213107031), we get a palindrome (343808343).
The spelling of 130701312 in words is "one hundred thirty million, seven hundred one thousand, three hundred twelve".
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