Search a number
-
+
33681107 is a prime number
BaseRepresentation
bin1000000001111…
…0111011010011
32100101011210102
42000132323103
532110243412
63201523015
7556166435
oct200367323
970334712
1033681107
1118015129
12b34346b
136c93665
14468a655
152e548c2
hex201eed3

33681107 has 2 divisors, whose sum is σ = 33681108. Its totient is φ = 33681106.

The previous prime is 33681079. The next prime is 33681133. The reversal of 33681107 is 70118633.

33681107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33681107 - 218 = 33418963 is a prime.

It is a super-2 number, since 2×336811072 = 2268833937490898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33681107.

It is not a weakly prime, because it can be changed into another prime (33681157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16840553 + 16840554.

It is an arithmetic number, because the mean of its divisors is an integer number (16840554).

Almost surely, 233681107 is an apocalyptic number.

33681107 is a deficient number, since it is larger than the sum of its proper divisors (1).

33681107 is an equidigital number, since it uses as much as digits as its factorization.

33681107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 33681107 is about 5803.5426249835. The cubic root of 33681107 is about 322.9451641327.

The spelling of 33681107 in words is "thirty-three million, six hundred eighty-one thousand, one hundred seven".