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248133127 = 11214913763
BaseRepresentation
bin11101100101000…
…11011000000111
3122021220110122211
432302203120013
51002010230002
640342204251
76102045124
oct1662433007
9567813584
10248133127
11118079100
126b123687
133c53aa48
1424d5174b
1516bb5dd7
hexeca3607

248133127 has 12 divisors (see below), whose sum is σ = 274591800. Its totient is φ = 224045360.

The previous prime is 248133079. The next prime is 248133133. The reversal of 248133127 is 721331842.

248133127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248133127 - 219 = 247608839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248134127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11148 + ... + 24910.

It is an arithmetic number, because the mean of its divisors is an integer number (22882650).

Almost surely, 2248133127 is an apocalyptic number.

248133127 is a deficient number, since it is larger than the sum of its proper divisors (26458673).

248133127 is a wasteful number, since it uses less digits than its factorization.

248133127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13923 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 248133127 is about 15752.2419674153. The cubic root of 248133127 is about 628.3885304174.

Adding to 248133127 its reverse (721331842), we get a palindrome (969464969).

The spelling of 248133127 in words is "two hundred forty-eight million, one hundred thirty-three thousand, one hundred twenty-seven".

Divisors: 1 11 121 149 1639 13763 18029 151393 1665323 2050687 22557557 248133127