Search a number
-
+
33661121 = 13231031093
BaseRepresentation
bin1000000001101…
…0000011000001
32100100011101012
42000122003001
532104123441
63201250305
7556054244
oct200320301
970304335
1033661121
111800110a
12b333995
136c87530
14468325b
152e4d9eb
hex201a0c1

33661121 has 16 divisors (see below), whose sum is σ = 38228736. Its totient is φ = 29405376.

The previous prime is 33661099. The next prime is 33661127. The reversal of 33661121 is 12116633.

It is a happy number.

It is not a de Polignac number, because 33661121 - 222 = 29466817 is a prime.

It is a super-2 number, since 2×336611212 = 2266142133953282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (33661127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30251 + ... + 31343.

It is an arithmetic number, because the mean of its divisors is an integer number (2389296).

Almost surely, 233661121 is an apocalyptic number.

It is an amenable number.

33661121 is a deficient number, since it is larger than the sum of its proper divisors (4567615).

33661121 is a wasteful number, since it uses less digits than its factorization.

33661121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its digits is 648, while the sum is 23.

The square root of 33661121 is about 5801.8204901565. The cubic root of 33661121 is about 322.8812741194.

Adding to 33661121 its reverse (12116633), we get a palindrome (45777754).

The spelling of 33661121 in words is "thirty-three million, six hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 13 23 103 299 1093 1339 2369 14209 25139 30797 112579 326807 1463527 2589317 33661121