Search a number
-
+
10302123 = 3131913903
BaseRepresentation
bin100111010011…
…001010101011
3201101101212010
4213103022223
510114131443
61004451003
7153365226
oct47231253
921341763
1010302123
1158a7157
123549a63
132199240
1415225bd
15d87733
hex9d32ab

10302123 has 16 divisors (see below), whose sum is σ = 15572480. Its totient is φ = 6005664.

The previous prime is 10302077. The next prime is 10302139. The reversal of 10302123 is 32120301.

It is a happy number.

It is not a de Polignac number, because 10302123 - 28 = 10301867 is a prime.

It is a super-2 number, since 2×103021232 = 212267476614258, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10302099 and 10302108.

It is not an unprimeable number, because it can be changed into a prime (10302143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 7692.

It is an arithmetic number, because the mean of its divisors is an integer number (973280).

Almost surely, 210302123 is an apocalyptic number.

10302123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10302123 is a deficient number, since it is larger than the sum of its proper divisors (5270357).

10302123 is a wasteful number, since it uses less digits than its factorization.

10302123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10302123 is about 3209.6920413024. The cubic root of 10302123 is about 217.5916590819.

Adding to 10302123 its reverse (32120301), we get a palindrome (42422424).

The spelling of 10302123 in words is "ten million, three hundred two thousand, one hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 741 13903 41709 180739 264157 542217 792471 3434041 10302123