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180127117 = 107215733
BaseRepresentation
bin10101011110010…
…00010110001101
3110112221101221201
422233020112031
5332103031432
625512425501
74315024642
oct1257102615
9415841851
10180127117
119274a195
12503a8291
132b4199c1
1419ccbdc9
1510c30ee7
hexabc858d

180127117 has 6 divisors (see below), whose sum is σ = 181837838. Its totient is φ = 178432344.

The previous prime is 180127097. The next prime is 180127139. The reversal of 180127117 is 711721081.

180127117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 119115396 + 61011721 = 10914^2 + 7811^2 .

It is not a de Polignac number, because 180127117 - 211 = 180125069 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 (180127217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3583 + ... + 19315.

Almost surely, 2180127117 is an apocalyptic number.

It is an amenable number.

180127117 is a deficient number, since it is larger than the sum of its proper divisors (1710721).

180127117 is an equidigital number, since it uses as much as digits as its factorization.

180127117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15947 (or 15840 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 28.

The square root of 180127117 is about 13421.1443997895. The cubic root of 180127117 is about 564.7544990272.

Adding to 180127117 its reverse (711721081), we get a palindrome (891848198).

The spelling of 180127117 in words is "one hundred eighty million, one hundred twenty-seven thousand, one hundred seventeen".

Divisors: 1 107 11449 15733 1683431 180127117