Search a number
-
+
330110201033223 = 31367155161814211
BaseRepresentation
bin100101100001110111100010…
…1010001001111001000000111
31121021211020010111022212110020
41023003233011101033020013
5321232011142431030343
63130030311030030223
7126350450342406402
oct11303570521171007
91537736114285406
10330110201033223
1196201a4a589946
123103569a4a8373
131122734889a620
145b735c1976d39
152826dcd1e0b83
hex12c3bc544f207

330110201033223 has 32 divisors (see below), whose sum is σ = 481082775005952. Its totient is φ = 200111192582400.

The previous prime is 330110201033189. The next prime is 330110201033231. The reversal of 330110201033223 is 322330102011033.

It is not a de Polignac number, because 330110201033223 - 238 = 329835323126279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330110201033193 and 330110201033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330110201033293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405028588 + ... + 405842798.

It is an arithmetic number, because the mean of its divisors is an integer number (15033836718936).

Almost surely, 2330110201033223 is an apocalyptic number.

330110201033223 is a deficient number, since it is larger than the sum of its proper divisors (150972573972729).

330110201033223 is a wasteful number, since it uses less digits than its factorization.

330110201033223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969455.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330110201033223 its reverse (322330102011033), we get a palindrome (652440303044256).

The spelling of 330110201033223 in words is "three hundred thirty trillion, one hundred ten billion, two hundred one million, thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 13 39 67 201 871 2613 155161 465483 814211 2017093 2442633 6051279 10395787 10584743 31187361 31754229 54552137 135145231 163656411 405435693 709177781 2127533343 126333792971 379001378913 1642339308623 4927017925869 8464364129057 25393092387171 110036733677741 330110201033223