Search a number
-
+
232533440101 = 1723358705741
BaseRepresentation
bin1101100010010000010…
…0101011011001100101
3211020012122200200100101
43120210010223121211
512302212030040401
6254454022344101
722541252425414
oct3304404533145
9736178620311
10232533440101
118a687079286
1239096b8b031
1318c0a521451
14b37cba347b
1560ae6d2101
hex362412b665

232533440101 has 8 divisors (see below), whose sum is σ = 247268585304. Its totient is φ = 217915706880.

The previous prime is 232533440099. The next prime is 232533440129. The reversal of 232533440101 is 101044335232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92249483076 + 140283957025 = 303726^2 + 374545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 232533440101 - 21 = 232533440099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232533440101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232533440171) 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 7 ways as a sum of consecutive naturals, for example, 29348910 + ... + 29356831.

It is an arithmetic number, because the mean of its divisors is an integer number (30908573163).

Almost surely, 2232533440101 is an apocalyptic number.

It is an amenable number.

232533440101 is a deficient number, since it is larger than the sum of its proper divisors (14735145203).

232533440101 is a wasteful number, since it uses less digits than its factorization.

232533440101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58705991.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 232533440101 its reverse (101044335232), we get a palindrome (333577775333).

The spelling of 232533440101 in words is "two hundred thirty-two billion, five hundred thirty-three million, four hundred forty thousand, one hundred one".

Divisors: 1 17 233 3961 58705741 997997597 13678437653 232533440101