Search a number
-
+
10123417 is a prime number
BaseRepresentation
bin100110100111…
…100010011001
3201001022201101
4212213202121
510042422132
61000551401
7152022223
oct46474231
921038641
1010123417
115794967
123482561
132135ab5
1414b7413
15d4e7e7
hex9a7899

10123417 has 2 divisors, whose sum is σ = 10123418. Its totient is φ = 10123416.

The previous prime is 10123411. The next prime is 10123423. The reversal of 10123417 is 71432101.

10123417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10123411) and next prime (10123423).

It can be written as a sum of positive squares in only one way, i.e., 9634816 + 488601 = 3104^2 + 699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123417 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123394 and 10123403.

It is not a weakly prime, because it can be changed into another prime (10123411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061708 + 5061709.

It is an arithmetic number, because the mean of its divisors is an integer number (5061709).

Almost surely, 210123417 is an apocalyptic number.

It is an amenable number.

10123417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123417 is an equidigital number, since it uses as much as digits as its factorization.

10123417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10123417 is about 3181.7317611640. The cubic root of 10123417 is about 216.3261604841.

Adding to 10123417 its reverse (71432101), we get a palindrome (81555518).

The spelling of 10123417 in words is "ten million, one hundred twenty-three thousand, four hundred seventeen".