Base | Representation |
---|---|
bin | 1101011001001100011… |
… | …0000010100111101000 |
3 | 210222221010211001102012 |
4 | 3112103012002213220 |
5 | 12232221340213112 |
6 | 253412413055052 |
7 | 22424056042025 |
oct | 3262306024750 |
9 | 728833731365 |
10 | 230101101032 |
11 | 89649088a00 |
12 | 38718487488 |
13 | 18910621c6a |
14 | b1cbb2654c |
15 | 5ebadbe022 |
hex | 35931829e8 |
230101101032 has 24 divisors (see below), whose sum is σ = 474226961250. Its totient is φ = 104591409120.
The previous prime is 230101100963. The next prime is 230101101037.
230101101032 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in only one way, i.e., 208934924836 + 21166176196 = 457094^2 + 145486^2 .
It is a super-2 number, since 2×2301011010322 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 230101100998 and 230101101016.
It is not an unprimeable number, because it can be changed into a prime (230101101037) 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 5 ways as a sum of consecutive naturals, for example, 118852907 + ... + 118854842.
Almost surely, 2230101101032 is an apocalyptic number.
230101101032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
230101101032 is an abundant number, since it is smaller than the sum of its proper divisors (244125860218).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230101101032 is a wasteful number, since it uses less digits than its factorization.
230101101032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 237707777 (or 237707762 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
It can be divided in two parts, 230101 and 101032, that added together give a palindrome (331133).
The spelling of 230101101032 in words is "two hundred thirty billion, one hundred one million, one hundred one thousand, thirty-two".
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