Search a number
-
+
33021113305 = 589160146349
BaseRepresentation
bin11110110000001101…
…100011001111011001
310011020022001100201111
4132300031203033121
51020111401111210
623100353020321
72246202555235
oct366015431731
9104208040644
1033021113305
1113005615194
1264968546a1
13316325c6cb
1418537895c5
15cd3e8d88a
hex7b03633d9

33021113305 has 16 divisors (see below), whose sum is σ = 40096458000. Its totient is φ = 26103193600.

The previous prime is 33021113267. The next prime is 33021113309. The reversal of 33021113305 is 50331112033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52722121 + 32968391184 = 7261^2 + 181572^2 .

It is not a de Polignac number, because 33021113305 - 29 = 33021112793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33021113309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689271 + ... + 735619.

It is an arithmetic number, because the mean of its divisors is an integer number (2506028625).

Almost surely, 233021113305 is an apocalyptic number.

It is an amenable number.

33021113305 is a deficient number, since it is larger than the sum of its proper divisors (7075344695).

33021113305 is a wasteful number, since it uses less digits than its factorization.

33021113305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48044.

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 33021113305 its reverse (50331112033), we get a palindrome (83352225338).

The spelling of 33021113305 in words is "thirty-three billion, twenty-one million, one hundred thirteen thousand, three hundred five".

Divisors: 1 5 89 445 1601 8005 46349 142489 231745 712445 4125061 20625305 74204749 371023745 6604222661 33021113305