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10120323321 = 3210133733037
BaseRepresentation
bin10010110110011011…
…11110000011111001
3222010022011200200200
421123031332003321
5131211300321241
64352121352413
7505535220543
oct113315760371
928108150620
1010120323321
114323727779
121b65338709
13c538c85c4
146c0124693
153e37294b6
hex25b37e0f9

10120323321 has 24 divisors (see below), whose sum is σ = 14807235144. Its totient is φ = 6660057600.

The previous prime is 10120323253. The next prime is 10120323331. The reversal of 10120323321 is 12332302101.

10120323321 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 323 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371525625 + 9748797696 = 19275^2 + 98736^2 .

It is not a de Polignac number, because 10120323321 - 210 = 10120322297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120323294 and 10120323303.

It is not an unprimeable number, because it can be changed into a prime (10120323331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289815 + ... + 322851.

It is an arithmetic number, because the mean of its divisors is an integer number (616968131).

Almost surely, 210120323321 is an apocalyptic number.

It is an amenable number.

10120323321 is a deficient number, since it is larger than the sum of its proper divisors (4686911823).

10120323321 is a wasteful number, since it uses less digits than its factorization.

10120323321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33481 (or 33478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120323321 its reverse (12332302101), we get a palindrome (22452625422).

The spelling of 10120323321 in words is "ten billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 337 909 1011 3033 33037 34037 99111 102111 297333 306333 3336737 10010211 11133469 30030633 33400407 100201221 1124480369 3373441107 10120323321