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123013217 is a prime number
BaseRepresentation
bin1110101010100…
…00100001100001
322120110201102002
413111100201201
5222442410332
620112333345
73022411055
oct725204141
9276421362
10123013217
116348a718
1235244255
131c6405b2
14124a1c65
15abed562
hex7550861

123013217 has 2 divisors, whose sum is σ = 123013218. Its totient is φ = 123013216.

The previous prime is 123013213. The next prime is 123013237. The reversal of 123013217 is 712310321.

It is an a-pointer prime, because the next prime (123013237) can be obtained adding 123013217 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69372241 + 53640976 = 8329^2 + 7324^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013217 - 22 = 123013213 is a prime.

It is a super-3 number, since 3×1230132173 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (123013213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506608 + 61506609.

It is an arithmetic number, because the mean of its divisors is an integer number (61506609).

Almost surely, 2123013217 is an apocalyptic number.

It is an amenable number.

123013217 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013217 is an equidigital number, since it uses as much as digits as its factorization.

123013217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 123013217 is about 11091.1323587810. The cubic root of 123013217 is about 497.3367958731.

Adding to 123013217 its reverse (712310321), we get a palindrome (835323538).

The spelling of 123013217 in words is "one hundred twenty-three million, thirteen thousand, two hundred seventeen".