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10133411321 = 112290928789
BaseRepresentation
bin10010110111111111…
…11001010111111001
3222011012210122001102
421123333321113321
5131223123130241
64353310101145
7506054401145
oct113377712771
928135718042
1010133411321
114330056a00
121b697aa7b5
13c5652b897
146c1b70225
153e496239b
hex25bff95f9

10133411321 has 12 divisors (see below), whose sum is σ = 11142593700. Its totient is φ = 9208705440.

The previous prime is 10133411287. The next prime is 10133411339. The reversal of 10133411321 is 12311433101.

It can be written as a sum of positive squares in 2 ways, for example, as 8847471721 + 1285939600 = 94061^2 + 35860^2 .

It is not a de Polignac number, because 10133411321 - 26 = 10133411257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10133411293 and 10133411302.

It is not an unprimeable number, because it can be changed into a prime (10133411521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337595 + ... + 366383.

It is an arithmetic number, because the mean of its divisors is an integer number (928549475).

Almost surely, 210133411321 is an apocalyptic number.

10133411321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133411321 is a deficient number, since it is larger than the sum of its proper divisors (1009182379).

10133411321 is a wasteful number, since it uses less digits than its factorization.

10133411321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31720 (or 31709 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10133411321 its reverse (12311433101), we get a palindrome (22444844422).

The spelling of 10133411321 in words is "ten billion, one hundred thirty-three million, four hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 121 2909 28789 31999 316679 351989 3483469 83747201 921219211 10133411321