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123513217 is a prime number
BaseRepresentation
bin1110101110010…
…10100110000001
322121102010021121
413113022212001
5223104410332
620131152241
73026562562
oct727124601
9277363247
10123513217
11637a1343
1235445681
131c787059
1412592169
15ac9b797
hex75ca981

123513217 has 2 divisors, whose sum is σ = 123513218. Its totient is φ = 123513216.

The previous prime is 123513199. The next prime is 123513251. The reversal of 123513217 is 712315321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 56535361 = 8184^2 + 7519^2 .

It is a cyclic number.

It is not a de Polignac number, because 123513217 - 211 = 123511169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123513191 and 123513200.

It is not a weakly prime, because it can be changed into another prime (123513617) 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 as a sum of consecutive naturals, namely, 61756608 + 61756609.

It is an arithmetic number, because the mean of its divisors is an integer number (61756609).

Almost surely, 2123513217 is an apocalyptic number.

It is an amenable number.

123513217 is a deficient number, since it is larger than the sum of its proper divisors (1).

123513217 is an equidigital number, since it uses as much as digits as its factorization.

123513217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 123513217 is about 11113.6500304805. The cubic root of 123513217 is about 498.0097106755.

Adding to 123513217 its reverse (712315321), we get a palindrome (835828538).

The spelling of 123513217 in words is "one hundred twenty-three million, five hundred thirteen thousand, two hundred seventeen".