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33012421 = 1341241257
BaseRepresentation
bin111110111101…
…1101011000101
32022010012112021
41331323223011
531422344141
63135323141
7550413061
oct175735305
968105467
1033012421
11176a87a2
12b0804b1
136abb1a0
144554aa1
152d716d1
hex1f7bac5

33012421 has 16 divisors (see below), whose sum is σ = 36712368. Its totient is φ = 29491200.

The previous prime is 33012403. The next prime is 33012437. The reversal of 33012421 is 12421033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7396 + 33005025 = 86^2 + 5745^2 .

It is a 9-Lehmer number, since φ(33012421) divides (33012421-1)9.

It is a cyclic number.

It is not a de Polignac number, because 33012421 - 213 = 33004229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33012395 and 33012404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33012451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128325 + ... + 128581.

It is an arithmetic number, because the mean of its divisors is an integer number (2294523).

Almost surely, 233012421 is an apocalyptic number.

It is an amenable number.

33012421 is a deficient number, since it is larger than the sum of its proper divisors (3699947).

33012421 is a wasteful number, since it uses less digits than its factorization.

33012421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33012421 is about 5745.6436541087. The cubic root of 33012421 is about 320.7936711676.

Adding to 33012421 its reverse (12421033), we get a palindrome (45433454).

It can be divided in two parts, 33012 and 421, that added together give a palindrome (33433).

The spelling of 33012421 in words is "thirty-three million, twelve thousand, four hundred twenty-one".

Divisors: 1 13 41 241 257 533 3133 3341 9881 10537 61937 128453 136981 805181 2539417 33012421