Search a number
-
+
103332202233301 = 176078364837253
BaseRepresentation
bin10111011111101011100111…
…001101010011110111010101
3111112212110110211200210000101
4113133223213031103313111
5102020443322232431201
61003434054113014101
730523335204611056
oct2737534715236725
9445773424623011
10103332202233301
112aa19a393286a8
12b70a581554331
1345872531a0862
141b7343b95472d
15be2d93809d01
hex5dfae7353dd5

103332202233301 has 4 divisors (see below), whose sum is σ = 109410567070572. Its totient is φ = 97253837396032.

The previous prime is 103332202233289. The next prime is 103332202233319.

103332202233301 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52907788203076 + 50424414030225 = 7273774^2 + 7101015^2 .

It is a cyclic number.

It is not a de Polignac number, because 103332202233301 - 231 = 103330054749653 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 103332202233301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332202233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3039182418610 + ... + 3039182418643.

It is an arithmetic number, because the mean of its divisors is an integer number (27352641767643).

Almost surely, 2103332202233301 is an apocalyptic number.

It is an amenable number.

103332202233301 is a deficient number, since it is larger than the sum of its proper divisors (6078364837271).

103332202233301 is an equidigital number, since it uses as much as digits as its factorization.

103332202233301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078364837270.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 10333220 and 2233301, that added together give a palindrome (12566521).

The spelling of 103332202233301 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred two million, two hundred thirty-three thousand, three hundred one".

Divisors: 1 17 6078364837253 103332202233301