Search a number
-
+
301044021213234 = 2313113239314272967
BaseRepresentation
bin100010001110011000100010…
…1111100100011100000110010
31110110220112020110001100101010
41010130301011330203200302
5303424301123412310414
62544133414130051350
7120260466325404465
oct10434610574434062
91413815213040333
10301044021213234
1187a16063856482
1229920421719b56
13cbc9438891010
14544a8735232dc
1524c0ca4b22959
hex111cc45f23832

301044021213234 has 64 divisors (see below), whose sum is σ = 654413984227584. Its totient is φ = 91770832398336.

The previous prime is 301044021213233. The next prime is 301044021213307. The reversal of 301044021213234 is 432312120440103.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (301044021213233) 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, 13955419 + ... + 28228385.

It is an arithmetic number, because the mean of its divisors is an integer number (10225218503556).

Almost surely, 2301044021213234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301044021213234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327206992113792).

301044021213234 is an abundant number, since it is smaller than the sum of its proper divisors (353369963014350).

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

301044021213234 is a wasteful number, since it uses less digits than its factorization.

301044021213234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14275491.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 301044021213234 its reverse (432312120440103), we get a palindrome (733356141653337).

The spelling of 301044021213234 in words is "three hundred one trillion, forty-four billion, twenty-one million, two hundred thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2393 2938 4407 4786 7179 8814 14358 31109 62218 93327 186654 270409 540818 811227 1622454 3515317 7030634 10545951 14272967 21091902 28545934 42818901 85637802 185548571 371097142 556645713 1113291426 1612845271 3225690542 4838535813 9677071626 20966988523 34155210031 41933977046 62900965569 68310420062 102465630093 125801931138 204931260186 444017730403 888035460806 1332053191209 2664106382418 3859538733503 7719077467006 11578616200509 23157232401018 50174003535539 100348007071078 150522010606617 301044021213234