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10134431321 = 7429145549
BaseRepresentation
bin10010111000000111…
…10010011001011001
3222011021201110020012
421130003302121121
5131223403300241
64353344011305
7506066150000
oct113403623131
928137643205
1010134431321
114330693283
121b6a000b35
13c567c7c31
146c1d57c37
153e4ab46eb
hex25c0f2659

10134431321 has 20 divisors (see below), whose sum is σ = 12230566500. Its totient is φ = 8387057952.

The previous prime is 10134431317. The next prime is 10134431341. The reversal of 10134431321 is 12313443101.

10134431321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6648119296 + 3486312025 = 81536^2 + 59045^2 .

It is not a de Polignac number, because 10134431321 - 22 = 10134431317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10134431341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3146 + ... + 142403.

It is an arithmetic number, because the mean of its divisors is an integer number (611528325).

Almost surely, 210134431321 is an apocalyptic number.

It is an amenable number.

10134431321 is a deficient number, since it is larger than the sum of its proper divisors (2096135179).

10134431321 is an frugal number, since it uses more digits than its factorization.

10134431321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145606 (or 145585 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10134431321 its reverse (12313443101), we get a palindrome (22447874422).

The spelling of 10134431321 in words is "ten billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 29 49 203 343 1421 2401 9947 69629 145549 1018843 4220921 7131901 29546447 49923307 206825129 349463149 1447775903 10134431321