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248512129 is a prime number
BaseRepresentation
bin11101100111111…
…11111010000001
3122022121201112221
432303333322001
51002104342004
640354251041
76105214105
oct1663777201
9568551487
10248512129
11118307928
126b286a81
133c6413c8
142500d905
1516c3d354
hexecffe81

248512129 has 2 divisors, whose sum is σ = 248512130. Its totient is φ = 248512128.

The previous prime is 248512127. The next prime is 248512133. The reversal of 248512129 is 921215842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200279104 + 48233025 = 14152^2 + 6945^2 .

It is a cyclic number.

It is not a de Polignac number, because 248512129 - 21 = 248512127 is a prime.

It is a super-2 number, since 2×2485121292 = 123516556520225282, which contains 22 as substring.

Together with 248512127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 248512094 and 248512103.

It is not a weakly prime, because it can be changed into another prime (248512127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124256064 + 124256065.

It is an arithmetic number, because the mean of its divisors is an integer number (124256065).

Almost surely, 2248512129 is an apocalyptic number.

It is an amenable number.

248512129 is a deficient number, since it is larger than the sum of its proper divisors (1).

248512129 is an equidigital number, since it uses as much as digits as its factorization.

248512129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 34.

The square root of 248512129 is about 15764.2674742596. The cubic root of 248512129 is about 628.7083041332.

The spelling of 248512129 in words is "two hundred forty-eight million, five hundred twelve thousand, one hundred twenty-nine".