Search a number
-
+
233201301012 = 22326477813917
BaseRepresentation
bin1101100100101111100…
…0010111011000010100
3211021221012101112021200
43121023320113120110
512310044013113022
6255044201112500
722563642231651
oct3311370273024
9737835345250
10233201301012
118a99a067049
1239242788730
1318cb59ba014
14b403772c28
1560ed156bac
hex364be17614

233201301012 has 18 divisors (see below), whose sum is σ = 589481066538. Its totient is φ = 77733766992.

The previous prime is 233201301001. The next prime is 233201301041. The reversal of 233201301012 is 210103102332.

233201301012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 232976120976 + 225180036 = 482676^2 + 15006^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3238906923 + ... + 3238906994.

It is an arithmetic number, because the mean of its divisors is an integer number (32748948141).

Almost surely, 2233201301012 is an apocalyptic number.

It is an amenable number.

233201301012 is an abundant number, since it is smaller than the sum of its proper divisors (356279765526).

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

233201301012 is a wasteful number, since it uses less digits than its factorization.

233201301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477813927 (or 6477813922 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233201301012 its reverse (210103102332), we get a palindrome (443304403344).

The spelling of 233201301012 in words is "two hundred thirty-three billion, two hundred one million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6477813917 12955627834 19433441751 25911255668 38866883502 58300325253 77733767004 116600650506 233201301012