Search a number
-
+
233205350301301 = 71741137933138731
BaseRepresentation
bin110101000001100101011010…
…000100000111111001110101
31010120201012202211102020121111
4311001211122010013321311
5221031314024134120201
62143553020421515021
7100056346660023160
oct6501453204077165
91116635684366544
10233205350301301
1168340919659894
12221a4913b72a71
13a018229b39141
1441832b0794ad7
151be63165d0b51
hexd4195a107e75

233205350301301 has 16 divisors (see below), whose sum is σ = 266677340611968. Its totient is φ = 199772598398400.

The previous prime is 233205350301263. The next prime is 233205350301331. The reversal of 233205350301301 is 103103053502332.

It is a cyclic number.

It is not a de Polignac number, because 233205350301301 - 225 = 233205316746869 is a prime.

It is a super-2 number, since 2×2332053503013012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233205350301331) 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 15 ways as a sum of consecutive naturals, for example, 1680920106 + ... + 1681058836.

It is an arithmetic number, because the mean of its divisors is an integer number (16667333788248).

Almost surely, 2233205350301301 is an apocalyptic number.

It is an amenable number.

233205350301301 is a deficient number, since it is larger than the sum of its proper divisors (33471990310667).

233205350301301 is a wasteful number, since it uses less digits than its factorization.

233205350301301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278412.

The product of its (nonzero) digits is 24300, while the sum is 31.

The spelling of 233205350301301 in words is "two hundred thirty-three trillion, two hundred five billion, three hundred fifty million, three hundred one thousand, three hundred one".

Divisors: 1 7 1741 12187 137933 138731 965531 971117 240141353 241530671 1680989471 1690714697 19135583023 133949081161 33315050043043 233205350301301