Search a number
-
+
10232313 = 3713371013
BaseRepresentation
bin100111000010…
…000111111001
3201020212002120
4213002013321
510104413223
61003151453
7152654550
oct47020771
921225076
1010232313
115859763
123515589
132173530
141504d97
15d71be3
hex9c21f9

10232313 has 32 divisors (see below), whose sum is σ = 17262336. Its totient is φ = 5246208.

The previous prime is 10232297. The next prime is 10232333. The reversal of 10232313 is 31323201.

10232313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10232313 - 24 = 10232297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10232292 and 10232301.

It is not an unprimeable number, because it can be changed into a prime (10232333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595 + ... + 10607.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 210232313 is an apocalyptic number.

10232313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10232313 is a deficient number, since it is larger than the sum of its proper divisors (7030023).

10232313 is a wasteful number, since it uses less digits than its factorization.

10232313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 10232313 is about 3198.7986807550. The cubic root of 10232313 is about 217.0990578912.

Adding to 10232313 its reverse (31323201), we get a palindrome (41555514).

The spelling of 10232313 in words is "ten million, two hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1013 1443 3039 3367 7091 10101 13169 21273 37481 39507 92183 112443 262367 276549 487253 787101 1461759 3410771 10232313