Search a number
-
+
201001323313323 = 351397655960301
BaseRepresentation
bin101101101100111101000100…
…011110011011100010101011
3222100200112112211002202200000
4231230331010132123202223
5202321201202232011243
61551254422211114043
760223603112123061
oct5554750436334253
9870615484082600
10201001323313323
1159055200a0a115
121a6634a05a2923
138820460765c50
14378c731ada031
15183878ba9d5d3
hexb6cf4479b8ab

201001323313323 has 48 divisors (see below), whose sum is σ = 327591822501216. Its totient is φ = 122417935027200.

The previous prime is 201001323313267. The next prime is 201001323313327. The reversal of 201001323313323 is 323313323100102.

201001323313323 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 1 + 3 + 2 + 331 + 3 + 323 = 666.

It is not a de Polignac number, because 201001323313323 - 228 = 201001054877867 is a prime.

It is a super-4 number, since 4×2010013233133234 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201001323313327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327673728 + ... + 328286573.

It is an arithmetic number, because the mean of its divisors is an integer number (6824829635442).

Almost surely, 2201001323313323 is an apocalyptic number.

201001323313323 is a deficient number, since it is larger than the sum of its proper divisors (126590499187893).

201001323313323 is an equidigital number, since it uses as much as digits as its factorization.

201001323313323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655960426 (or 655960414 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 201001323313323 its reverse (323313323100102), we get a palindrome (524314646413425).

The spelling of 201001323313323 in words is "two hundred one trillion, one billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 97 117 243 291 351 873 1053 1261 2619 3159 3783 7857 11349 23571 34047 102141 306423 655960301 1967880903 5903642709 8527483913 17710928127 25582451739 53132784381 63628149197 76747355217 159398353143 190884447591 230242065651 572653342773 690726196953 827165939561 1717960028319 2072178590859 2481497818683 5153880084957 7444493456049 15461640254871 22333480368147 67000441104441 201001323313323