Base | Representation |
---|---|
bin | 100010001110111101011101… |
… | …1011001110100111001100111 |
3 | 1110111012002212121101121010000 |
4 | 1010131322323121310321213 |
5 | 303432101010103412411 |
6 | 2544234045044032343 |
7 | 120266304055425222 |
oct | 10435727331647147 |
9 | 1414162777347100 |
10 | 301123301232231 |
11 | 87a46747306135 |
12 | 299338683926b3 |
13 | cc03a617abb6a |
14 | 54506348025b9 |
15 | 24c2d94cc3956 |
hex | 111debb674e67 |
301123301232231 has 80 divisors (see below), whose sum is σ = 460988466789664. Its totient is φ = 195781677751296.
The previous prime is 301123301232203. The next prime is 301123301232241. The reversal of 301123301232231 is 132232103321103.
301123301232231 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 2 + 3 + 301 + 2 + 322 + 31 = 666.
It is not a de Polignac number, because 301123301232231 - 218 = 301123300970087 is a prime.
It is a super-2 number, since 2×3011233012322312 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 301123301232195 and 301123301232204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (301123301232241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18923092731 + ... + 18923108643.
Almost surely, 2301123301232231 is an apocalyptic number.
301123301232231 is a deficient number, since it is larger than the sum of its proper divisors (159865165557433).
301123301232231 is a wasteful number, since it uses less digits than its factorization.
301123301232231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23902 (or 23893 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 301123301232231 its reverse (132232103321103), we get a palindrome (433355404553334).
The spelling of 301123301232231 in words is "three hundred one trillion, one hundred twenty-three billion, three hundred one million, two hundred thirty-two thousand, two hundred thirty-one".
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