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123292321 is a prime number
BaseRepresentation
bin1110101100101…
…00101010100001
322120222220021021
413112110222201
5223030323241
620122325441
73024652555
oct726245241
9276886237
10123292321
1163660389
1235359881
131c70a649
1412535865
15ac560d1
hex7594aa1

123292321 has 2 divisors, whose sum is σ = 123292322. Its totient is φ = 123292320.

The previous prime is 123292319. The next prime is 123292333.

123292321 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111007296 + 12285025 = 10536^2 + 3505^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 123292321 - 21 = 123292319 is a prime.

Together with 123292319, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (123292361) 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, 61646160 + 61646161.

It is an arithmetic number, because the mean of its divisors is an integer number (61646161).

Almost surely, 2123292321 is an apocalyptic number.

It is an amenable number.

123292321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123292321 is an equidigital number, since it uses as much as digits as its factorization.

123292321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 123292321 is about 11103.7075339726. The cubic root of 123292321 is about 497.7126466525.

The spelling of 123292321 in words is "one hundred twenty-three million, two hundred ninety-two thousand, three hundred twenty-one".