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110601 = 3212289
BaseRepresentation
bin11011000000001001
312121201100
4123000021
512014401
62212013
7640311
oct330011
9177640
10110601
1176107
1254009
133b45a
142c441
1522b86
hex1b009

110601 has 6 divisors (see below), whose sum is σ = 159770. Its totient is φ = 73728.

The previous prime is 110597. The next prime is 110603. The reversal of 110601 is 106011.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 5625 = 324^2 + 75^2 .

It is not a de Polignac number, because 110601 - 22 = 110597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12289 = 110601 / (1 + 1 + 0 + 6 + 0 + 1).

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

110601 is a lucky number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (110603) 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, 6136 + ... + 6153.

2110601 is an apocalyptic number.

It is an amenable number.

110601 is a deficient number, since it is larger than the sum of its proper divisors (49169).

110601 is a wasteful number, since it uses less digits than its factorization.

110601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110601 is about 332.5672864249. The cubic root of 110601 is about 48.0013020480.

Adding to 110601 its reverse (106011), we get a palindrome (216612).

The spelling of 110601 in words is "one hundred ten thousand, six hundred one".

Divisors: 1 3 9 12289 36867 110601