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10311444221 = 1376110091033
BaseRepresentation
bin10011001101001110…
…00010011011111101
3222121121210122021112
421212213002123331
5132104212203341
64423110011405
7513345554411
oct114647023375
928547718245
1010311444221
1144115a5731
121bb9346b65
13c843942b0
146db674d41
154053ccaeb
hex2669c26fd

10311444221 has 16 divisors (see below), whose sum is σ = 11141019120. Its totient is φ = 9487134720.

The previous prime is 10311444217. The next prime is 10311444233. The reversal of 10311444221 is 12244411301.

It can be written as a sum of positive squares in 8 ways, for example, as 1294992196 + 9016452025 = 35986^2 + 94955^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311444221 - 22 = 10311444217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311443221) 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 15 ways as a sum of consecutive naturals, for example, 9981521 + ... + 9982553.

It is an arithmetic number, because the mean of its divisors is an integer number (696313695).

Almost surely, 210311444221 is an apocalyptic number.

It is an amenable number.

10311444221 is a deficient number, since it is larger than the sum of its proper divisors (829574899).

10311444221 is a wasteful number, since it uses less digits than its factorization.

10311444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10311444221 its reverse (12244411301), we get a palindrome (22555855522).

The spelling of 10311444221 in words is "ten billion, three hundred eleven million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 13 761 1009 1033 9893 13117 13429 767849 786113 1042297 9982037 10219469 13549861 793188017 10311444221