Search a number
-
+
320242202242023 = 32832237710923719
BaseRepresentation
bin100100011010000100011001…
…0101101001110101111100111
31112222212212002200122210122010
41020310020302231032233213
5313433322012233221043
63053033123045005303
7124311510210554325
oct11064106255165747
91488785080583563
10320242202242023
1193047a56517826
122bb011016b3833
131098c9300c5259
145911b3ba04d15
15270537bb62133
hex1234232b4ebe7

320242202242023 has 32 divisors (see below), whose sum is σ = 428768329305600. Its totient is φ = 212606426088576.

The previous prime is 320242202242013. The next prime is 320242202242063.

It is a happy number.

320242202242023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320242202242023 - 225 = 320242168687591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320242202242013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13501493358 + ... + 13501517076.

It is an arithmetic number, because the mean of its divisors is an integer number (13399010290800).

Almost surely, 2320242202242023 is an apocalyptic number.

320242202242023 is a deficient number, since it is larger than the sum of its proper divisors (108526127063577).

320242202242023 is a wasteful number, since it uses less digits than its factorization.

320242202242023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33351.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 32024220 and 2242023, that added together give a palindrome (34266243).

The spelling of 320242202242023 in words is "three hundred twenty trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, twenty-three".

Divisors: 1 3 283 849 2237 6711 7109 21327 23719 71157 633071 1899213 2011847 6035541 6712477 15902833 20137431 47708499 53059403 159178209 168618371 505855113 4500501739 13501505217 15015811049 45047433147 47718998993 143156996979 377199295927 1131597887781 106747400747341 320242202242023