Search a number
-
+
201133131241 = 71011033178713
BaseRepresentation
bin1011101101010001111…
…0000000010111101001
3201020011022110201100011
42323110132000113221
511243410040144431
6232222125011521
720350160256430
oct2732436002751
9636138421304
10201133131241
11783334554a9
1232b930b3ba1
1315c75000133
149a407a6117
155372ba1cb1
hex2ed47805e9

201133131241 has 32 divisors (see below), whose sum is σ = 235162556928. Its totient is φ = 168483110400.

The previous prime is 201133131233. The next prime is 201133131317. The reversal of 201133131241 is 142131331102.

201133131241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201133131241 - 23 = 201133131233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201133132241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23079901 + ... + 23088613.

It is an arithmetic number, because the mean of its divisors is an integer number (7348829904).

Almost surely, 2201133131241 is an apocalyptic number.

It is an amenable number.

201133131241 is a deficient number, since it is larger than the sum of its proper divisors (34029425687).

201133131241 is a wasteful number, since it uses less digits than its factorization.

201133131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201133131241 its reverse (142131331102), we get a palindrome (343264462343).

The spelling of 201133131241 in words is "two hundred one billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 7 101 103 317 707 721 2219 8713 10403 32017 32651 60991 72821 224119 228557 880013 897439 2762021 3297751 6160091 6282073 19334147 23084257 90641339 278964121 284488163 634489373 1952748847 1991417141 28733304463 201133131241