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248135031 = 3235277817
BaseRepresentation
bin11101100101000…
…11110101110111
3122021220120021100
432302203311313
51002010310111
640342221143
76102053514
oct1662436567
9567816240
10248135031
1111807a581
126b1247b3
133c53b881
1424d5230b
1516bb6756
hexeca3d77

248135031 has 12 divisors (see below), whose sum is σ = 358564752. Its totient is φ = 165355296.

The previous prime is 248135023. The next prime is 248135039. The reversal of 248135031 is 130531842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248135023) and next prime (248135039).

It is not a de Polignac number, because 248135031 - 23 = 248135023 is a prime.

It is a super-2 number, since 2×2481350312 = 123141987218741922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248134986 and 248135004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248135039) 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, 27835 + ... + 35651.

It is an arithmetic number, because the mean of its divisors is an integer number (29880396).

Almost surely, 2248135031 is an apocalyptic number.

248135031 is a deficient number, since it is larger than the sum of its proper divisors (110429721).

248135031 is a wasteful number, since it uses less digits than its factorization.

248135031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11350 (or 11347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 248135031 is about 15752.3024031409. The cubic root of 248135031 is about 628.3901376846.

Adding to 248135031 its reverse (130531842), we get a palindrome (378666873).

The spelling of 248135031 in words is "two hundred forty-eight million, one hundred thirty-five thousand, thirty-one".

Divisors: 1 3 9 3527 7817 10581 23451 31743 70353 27570559 82711677 248135031