Base | Representation |
---|---|
bin | 11000001111010010… |
… | …00010101010101111 |
3 | 1020120220110000222021 |
4 | 30013221002222233 |
5 | 203122323214411 |
6 | 5551135531011 |
7 | 640322351434 |
oct | 140751025257 |
9 | 36526400867 |
10 | 13013101231 |
11 | 5578613619 |
12 | 2632089a67 |
13 | 12c500b000 |
14 | 8b63b9b8b |
15 | 51268da71 |
hex | 307a42aaf |
13013101231 has 16 divisors (see below), whose sum is σ = 14926312800. Its totient is φ = 11305467264.
The previous prime is 13013101217. The next prime is 13013101249. The reversal of 13013101231 is 13210131031.
13013101231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 13013101231 - 27 = 13013101103 is a prime.
It is a super-2 number, since 2×130131012312 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13013101261) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136861 + ... + 211558.
It is an arithmetic number, because the mean of its divisors is an integer number (932894550).
Almost surely, 213013101231 is an apocalyptic number.
13013101231 is a deficient number, since it is larger than the sum of its proper divisors (1913211569).
13013101231 is an equidigital number, since it uses as much as digits as its factorization.
13013101231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 348475 (or 348449 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
Adding to 13013101231 its reverse (13210131031), we get a palindrome (26223232262).
It can be divided in two parts, 13013 and 101231, that added together give a square (114244 = 3382).
The spelling of 13013101231 in words is "thirteen billion, thirteen million, one hundred one thousand, two hundred thirty-one".
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