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73101 = 37592
BaseRepresentation
bin10001110110001101
310201021110
4101312031
54314401
61322233
7423060
oct216615
9121243
1073101
114aa16
1236379
1327372
141c8d7
15169d6
hex11d8d

73101 has 12 divisors (see below), whose sum is σ = 113312. Its totient is φ = 41064.

The previous prime is 73091. The next prime is 73121. The reversal of 73101 is 10137.

73101 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 73101 - 26 = 73037 is a prime.

It is a Duffinian number.

It is a Curzon number.

73101 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73101.

It is not an unprimeable number, because it can be changed into a prime (73121) 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, 1210 + ... + 1268.

273101 is an apocalyptic number.

It is an amenable number.

73101 is a deficient number, since it is larger than the sum of its proper divisors (40211).

73101 is an equidigital number, since it uses as much as digits as its factorization.

73101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 73101 is about 270.3719660024. The cubic root of 73101 is about 41.8126576595.

Multiplying 73101 by its product of nonzero digits (21), we get a square (1535121 = 12392).

73101 divided by its product of nonzero digits (21) gives a square (3481 = 592).

Adding to 73101 its reverse (10137), we get a palindrome (83238).

The spelling of 73101 in words is "seventy-three thousand, one hundred one", and thus it is an iban number.

Divisors: 1 3 7 21 59 177 413 1239 3481 10443 24367 73101