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201123210441 = 31512515992953
BaseRepresentation
bin1011101101001111100…
…0001010010011001001
3201020010121210200120010
42323103320022103021
511243400020213231
6232221132222133
720350010040006
oct2732370122311
9636117720503
10201123210441
117832889989a
1232b8b90a949
1315c72c3863a
149a3d3428ad
155371d92546
hex2ed3e0a4c9

201123210441 has 32 divisors (see below), whose sum is σ = 271560038400. Its totient is φ = 132397200000.

The previous prime is 201123210439. The next prime is 201123210461. The reversal of 201123210441 is 144012321102.

201123210441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201123210441 - 21 = 201123210439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201123210461) 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, 68106621 + ... + 68109573.

It is an arithmetic number, because the mean of its divisors is an integer number (8486251200).

Almost surely, 2201123210441 is an apocalyptic number.

It is an amenable number.

201123210441 is a deficient number, since it is larger than the sum of its proper divisors (70436827959).

201123210441 is a wasteful number, since it uses less digits than its factorization.

201123210441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201123210441 its reverse (144012321102), we get a palindrome (345135531543).

The spelling of 201123210441 in words is "two hundred one billion, one hundred twenty-three million, two hundred ten thousand, four hundred forty-one".

Divisors: 1 3 151 251 453 599 753 1797 2953 8859 37901 90449 113703 150349 271347 445903 451047 741203 1337709 1768847 2223609 5306541 22702699 68108097 111921653 267095897 335764959 443980597 801287691 1331941791 67041070147 201123210441