Base | Representation |
---|---|
bin | 1010111010110011… |
… | …1000001101010011 |
3 | 21120021012020100000 |
4 | 2232230320031103 |
5 | 22000314001042 |
6 | 1202501301043 |
7 | 132430042635 |
oct | 25654701523 |
9 | 7507166300 |
10 | 2931000147 |
11 | 1274522879 |
12 | 699704783 |
13 | 37930601a |
14 | 1db3a4a55 |
15 | 1224b474c |
hex | aeb38353 |
2931000147 has 54 divisors (see below), whose sum is σ = 4620255276. Its totient is φ = 1856665800.
The previous prime is 2931000091. The next prime is 2931000167. The reversal of 2931000147 is 7410001392.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is not a de Polignac number, because 2931000147 - 211 = 2930998099 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 2931000147.
It is not an unprimeable number, because it can be changed into a prime (2931000167) 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 53 ways as a sum of consecutive naturals, for example, 19410522 + ... + 19410672.
Almost surely, 22931000147 is an apocalyptic number.
2931000147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.
2931000147 is a deficient number, since it is larger than the sum of its proper divisors (1689255129).
2931000147 is an frugal number, since it uses more digits than its factorization.
2931000147 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 363 (or 177 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The square root of 2931000147 is about 54138.7120921804. The cubic root of 2931000147 is about 1431.1064752070.
Multiplying 2931000147 by its sum of digits (27), we get a square (79137003969 = 2813132).
2931000147 divided by its sum of digits (27) gives a square (108555561 = 104192).
The spelling of 2931000147 in words is "two billion, nine hundred thirty-one million, one hundred forty-seven", and thus it is an aban number.
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