Base | Representation |
---|---|
bin | 1000110000101011010… |
… | …10111111101011011011 |
3 | 1001202221222212112211122 |
4 | 10120111222333223123 |
5 | 14412432343200011 |
6 | 350141020515455 |
7 | 30514224601100 |
oct | 4302552775333 |
9 | 1052858775748 |
10 | 301011303131 |
11 | 106727040310 |
12 | 4a4080abb8b |
13 | 225014c5826 |
14 | 107d7592aa7 |
15 | 7c6b3743db |
hex | 4615abfadb |
301011303131 has 96 divisors (see below), whose sum is σ = 409132684800. Its totient is φ = 218222484480.
The previous prime is 301011303121. The next prime is 301011303133. The reversal of 301011303131 is 131303110103.
It is a de Polignac number, because none of the positive numbers 2k-301011303131 is a prime.
It is a super-2 number, since 2×3010113031312 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is not an unprimeable number, because it can be changed into a prime (301011303133) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350420180 + ... + 350421038.
It is an arithmetic number, because the mean of its divisors is an integer number (4261798800).
Almost surely, 2301011303131 is an apocalyptic number.
301011303131 is a deficient number, since it is larger than the sum of its proper divisors (108121381669).
301011303131 is a wasteful number, since it uses less digits than its factorization.
301011303131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 17.
Adding to 301011303131 its reverse (131303110103), we get a palindrome (432314413234).
The spelling of 301011303131 in words is "three hundred one billion, eleven million, three hundred three thousand, one hundred thirty-one".
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