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123124323421321 is a prime number
BaseRepresentation
bin11011111111101100011101…
…100011111000110010001001
3121010221120101210111110222121
4123333230131203320302021
5112114232103243440241
61113510311110451241
734635303341115445
oct3377543543706211
9533846353443877
10123124323421321
113625a8067aa482
121198639a963b21
13539175ca73bb1
14225936b571825
15e37b2d6adad1
hex6ffb1d8f8c89

123124323421321 has 2 divisors, whose sum is σ = 123124323421322. Its totient is φ = 123124323421320.

The previous prime is 123124323421303. The next prime is 123124323421339.

123124323421321 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (123124323421303) and next prime (123124323421339).

It can be written as a sum of positive squares in only one way, i.e., 101341670259600 + 21782653161721 = 10066860^2 + 4667189^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 123124323421321 - 227 = 123124189203593 is a prime.

It is a super-3 number, since 3×1231243234213213 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (123124323421381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61562161710660 + 61562161710661.

It is an arithmetic number, because the mean of its divisors is an integer number (61562161710661).

Almost surely, 2123124323421321 is an apocalyptic number.

It is an amenable number.

123124323421321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123124323421321 is an equidigital number, since it uses as much as digits as its factorization.

123124323421321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 34.

The spelling of 123124323421321 in words is "one hundred twenty-three trillion, one hundred twenty-four billion, three hundred twenty-three million, four hundred twenty-one thousand, three hundred twenty-one".