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73553121 = 3273111953
BaseRepresentation
bin1000110001001…
…01010011100001
312010101212220200
410120211103201
5122312144441
611144255413
71552122405
oct430452341
9163355820
1073553121
1138578604
1220771569
1312313b75
149aa9105
1566cd7b6
hex46254e1

73553121 has 12 divisors (see below), whose sum is σ = 107699748. Its totient is φ = 48363264.

The previous prime is 73553119. The next prime is 73553153. The reversal of 73553121 is 12135537.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 45037521 = 5340^2 + 6711^2 .

It is not a de Polignac number, because 73553121 - 21 = 73553119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73555121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55320 + ... + 56633.

It is an arithmetic number, because the mean of its divisors is an integer number (8974979).

Almost surely, 273553121 is an apocalyptic number.

It is an amenable number.

73553121 is a deficient number, since it is larger than the sum of its proper divisors (34146627).

73553121 is a wasteful number, since it uses less digits than its factorization.

73553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112032 (or 112029 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 73553121 is about 8576.3116198049. The cubic root of 73553121 is about 418.9868265766.

Adding to 73553121 its reverse (12135537), we get a palindrome (85688658).

The spelling of 73553121 in words is "seventy-three million, five hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 73 219 657 111953 335859 1007577 8172569 24517707 73553121