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10144303211 = 729421111867
BaseRepresentation
bin10010111001010010…
…11100100001101011
3222011222021222220202
421130221130201223
5131233420200321
64354335342415
7506246104010
oct113451344153
928158258822
1010144303211
114336216169
121b71381a0b
13c588733a3
146c33a7707
153e58b470b
hex25ca5c86b

10144303211 has 16 divisors (see below), whose sum is σ = 11997123840. Its totient is φ = 8392584480.

The previous prime is 10144303201. The next prime is 10144303217. The reversal of 10144303211 is 11230344101.

10144303211 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 10144303211 - 210 = 10144302187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144303217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848900 + ... + 860766.

It is an arithmetic number, because the mean of its divisors is an integer number (749820240).

Almost surely, 210144303211 is an apocalyptic number.

10144303211 is a deficient number, since it is larger than the sum of its proper divisors (1852820629).

10144303211 is a wasteful number, since it uses less digits than its factorization.

10144303211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16114.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10144303211 its reverse (11230344101), we get a palindrome (21374647312).

The spelling of 10144303211 in words is "ten billion, one hundred forty-four million, three hundred three thousand, two hundred eleven".

Divisors: 1 7 29 203 4211 11867 29477 83069 122119 344143 854833 2409001 49971937 349803559 1449186173 10144303211