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33144101 = 178812213
BaseRepresentation
bin111111001101…
…1110100100101
32022100220011022
41332123310211
531441102401
63142220525
7551502014
oct176336445
968326138
1033144101
1117788721
12b124745
136b360c3
14458aa7b
152d9a71b
hex1f9bd25

33144101 has 8 divisors (see below), whose sum is σ = 35149464. Its totient is φ = 31144960.

The previous prime is 33144077. The next prime is 33144109. The reversal of 33144101 is 10144133.

It can be written as a sum of positive squares in 4 ways, for example, as 14212900 + 18931201 = 3770^2 + 4351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33144101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13871 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (4393683).

Almost surely, 233144101 is an apocalyptic number.

It is an amenable number.

33144101 is a deficient number, since it is larger than the sum of its proper divisors (2005363).

33144101 is a wasteful number, since it uses less digits than its factorization.

33144101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 33144101 is about 5757.0913663064. The cubic root of 33144101 is about 321.2196327536.

Adding to 33144101 its reverse (10144133), we get a palindrome (43288234).

The spelling of 33144101 in words is "thirty-three million, one hundred forty-four thousand, one hundred one".

Divisors: 1 17 881 2213 14977 37621 1949653 33144101