Base | Representation |
---|---|
bin | 101111001001000001… |
… | …0101101100001100101 |
3 | 100200022012102222202011 |
4 | 1132102002231201211 |
5 | 3124312003311401 |
6 | 114301221114221 |
7 | 10212453321625 |
oct | 1362202554145 |
9 | 320265388664 |
10 | 101234432101 |
11 | 39a2a21a220 |
12 | 17753258971 |
13 | 971449b33a |
14 | 4c84d94885 |
15 | 29777c7451 |
hex | 17920ad865 |
101234432101 has 4 divisors (see below), whose sum is σ = 110437562304. Its totient is φ = 92031301900.
The previous prime is 101234432087. The next prime is 101234432107.
101234432101 is nontrivially palindromic in base 10.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.
It is a cyclic number.
It is not a de Polignac number, because 101234432101 - 219 = 101233907813 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101234432107) 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 3 ways as a sum of consecutive naturals, for example, 4601565085 + ... + 4601565106.
It is an arithmetic number, because the mean of its divisors is an integer number (27609390576).
Almost surely, 2101234432101 is an apocalyptic number.
101234432101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
101234432101 is a deficient number, since it is larger than the sum of its proper divisors (9203130203).
101234432101 is an equidigital number, since it uses as much as digits as its factorization.
101234432101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9203130202.
The product of its (nonzero) digits is 576, while the sum is 22.
It can be divided in two parts, 101234 and 432101, that added together give a palindrome (533335).
The spelling of 101234432101 in words is "one hundred one billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred one".
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