Search a number
-
+
201013523405958 = 23293972909949961
BaseRepresentation
bin101101101101001000011011…
…101010000101110010000110
3222100201201001001201200111210
4231231020123222011302012
5202321401143442442313
61551304200545312250
760224514333161214
oct5555103352056206
9870651031650453
10201013523405958
115905a3a16072aa
121a665926335686
1388216561b7c83
14378d16c121cb4
151838c52b959c3
hexb6d21ba85c86

201013523405958 has 32 divisors (see below), whose sum is σ = 416937630555360. Its totient is φ = 64531050312960.

The previous prime is 201013523405917. The next prime is 201013523405977. The reversal of 201013523405958 is 859504325310102.

It is a super-3 number, since 3×2010135234059583 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1454905903 + ... + 1455044058.

It is an arithmetic number, because the mean of its divisors is an integer number (13029300954855).

Almost surely, 2201013523405958 is an apocalyptic number.

201013523405958 is an abundant number, since it is smaller than the sum of its proper divisors (215924107149402).

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

201013523405958 is a wasteful number, since it uses less digits than its factorization.

201013523405958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909950392.

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 201013523405958 in words is "two hundred one trillion, thirteen billion, five hundred twenty-three million, four hundred five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 29 58 87 174 397 794 1191 2382 11513 23026 34539 69078 2909949961 5819899922 8729849883 17459699766 84388548869 168777097738 253165646607 506331293214 1155250134517 2310500269034 3465750403551 6931500807102 33502253900993 67004507801986 100506761702979 201013523405958