Search a number
-
+
301112011023330 = 235133720867083231
BaseRepresentation
bin100010001110111000001101…
…0011101000110001111100010
31110111011000201202212120002210
41010131300122131012033202
5303431404344310221310
62544224540451422550
7120265424223302253
oct10435603235061742
91414130652776083
10301112011023330
1187a41983281081
12299316372b4a56
13cc02982704190
14544dc8318ab2a
1524c2933a0b820
hex111dc1a7463e2

301112011023330 has 64 divisors (see below), whose sum is σ = 799292756118528. Its totient is φ = 72116639642880.

The previous prime is 301112011023323. The next prime is 301112011023377. The reversal of 301112011023330 is 33320110211103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 301112011023297 and 301112011023306.

It is an unprimeable number.

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, 10433527186 + ... + 10433556045.

It is an arithmetic number, because the mean of its divisors is an integer number (12488949314352).

Almost surely, 2301112011023330 is an apocalyptic number.

301112011023330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

301112011023330 is an abundant number, since it is smaller than the sum of its proper divisors (498180745095198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301112011023330 is a wasteful number, since it uses less digits than its factorization.

301112011023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20867083291.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 301112011023330 its reverse (33320110211103), we get a palindrome (334432121234433).

The spelling of 301112011023330 in words is "three hundred one trillion, one hundred twelve billion, eleven million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 20867083231 41734166462 62601249693 104335416155 125202499386 208670832310 271272082003 313006248465 542544164006 626012496930 772082079547 813816246009 1356360410015 1544164159094 1627632492018 2316246238641 2712720820030 3860410397735 4069081230045 4632492477282 7720820795470 8138162460090 10037067034111 11581231193205 20074134068222 23162462386410 30111201102333 50185335170555 60222402204666 100370670341110 150556005511665 301112011023330