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13731033 = 3371031201
BaseRepresentation
bin110100011000…
…010011011001
3221211121102210
4310120103121
512003343113
61210145333
7224466111
oct64302331
927747383
1013731033
117829368
124722249
132ac9b94
141b76041
1513136c3
hexd184d9

13731033 has 16 divisors (see below), whose sum is σ = 19001216. Its totient is φ = 8812800.

The previous prime is 13731031. The next prime is 13731037. The reversal of 13731033 is 33013731.

It is not a de Polignac number, because 13731033 - 21 = 13731031 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13731031) 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 15 ways as a sum of consecutive naturals, for example, 10833 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (1187576).

Almost surely, 213731033 is an apocalyptic number.

It is an amenable number.

13731033 is a deficient number, since it is larger than the sum of its proper divisors (5270183).

13731033 is a wasteful number, since it uses less digits than its factorization.

13731033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 567, while the sum is 21.

The square root of 13731033 is about 3705.5408512119. The cubic root of 13731033 is about 239.4607859693.

Adding to 13731033 its reverse (33013731), we get a palindrome (46744764).

The spelling of 13731033 in words is "thirteen million, seven hundred thirty-one thousand, thirty-three".

Divisors: 1 3 37 103 111 309 1201 3603 3811 11433 44437 123703 133311 371109 4577011 13731033