Base | Representation |
---|---|
bin | 111101000000110010… |
… | …1000110010010101001 |
3 | 110112012012220021110000 |
4 | 1322001211012102221 |
5 | 4121313342123331 |
6 | 140105141413213 |
7 | 12315605110521 |
oct | 1720145062251 |
9 | 415165807400 |
10 | 131023004841 |
11 | 50626085883 |
12 | 2148740a209 |
13 | c480b07a41 |
14 | 64ad2c4681 |
15 | 361ca8b0e6 |
hex | 1e819464a9 |
131023004841 has 45 divisors (see below), whose sum is σ = 201343806279. Its totient is φ = 84909709296.
The previous prime is 131023004831. The next prime is 131023004881. The reversal of 131023004841 is 148400320131.
The square root of 131023004841 is 361971.
It is a perfect power (a square), and thus also a powerful number.
131023004841 is a `hidden beast` number, since 1 + 310 + 2 + 300 + 4 + 8 + 41 = 666.
It can be written as a sum of positive squares in only one way, i.e., 117241184025 + 13781820816 = 342405^2 + 117396^2 .
It is not a de Polignac number, because 131023004841 - 231 = 128875521193 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (131023004831) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120535800 + ... + 120536886.
Almost surely, 2131023004841 is an apocalyptic number.
131023004841 is the 361971-st square number.
131023004841 is the 180986-th centered octagonal number.
It is an amenable number.
131023004841 is a deficient number, since it is larger than the sum of its proper divisors (70320801438).
131023004841 is an frugal number, since it uses more digits than its factorization.
131023004841 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2260 (or 1127 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Multiplying 131023004841 by its product of nonzero digits (2304), we get a square (301877003153664 = 173746082).
Adding to 131023004841 its reverse (148400320131), we get a palindrome (279423324972).
The spelling of 131023004841 in words is "one hundred thirty-one billion, twenty-three million, four thousand, eight hundred forty-one".
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