Search a number
-
+
35213013 = 3211401887
BaseRepresentation
bin1000011001010…
…0111011010101
32110021000011200
42012110323111
533003304023
63254423113
7605206563
oct206247325
973230150
1035213013
1118971070
12b961a99
1373aba04
144968a33
153158743
hex2194ed5

35213013 has 24 divisors (see below), whose sum is σ = 55688256. Its totient is φ = 21264000.

The previous prime is 35212997. The next prime is 35213039. The reversal of 35213013 is 31031253.

35213013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35213013 - 24 = 35212997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35213063) 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 in 23 ways as a sum of consecutive naturals, for example, 39256 + ... + 40142.

It is an arithmetic number, because the mean of its divisors is an integer number (2320344).

Almost surely, 235213013 is an apocalyptic number.

35213013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35213013 is a deficient number, since it is larger than the sum of its proper divisors (20475243).

35213013 is a wasteful number, since it uses less digits than its factorization.

35213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 35213013 is about 5934.0553586902. The cubic root of 35213013 is about 327.7688889755.

Adding to 35213013 its reverse (31031253), we get a palindrome (66244266).

The spelling of 35213013 in words is "thirty-five million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 33 99 401 887 1203 2661 3609 4411 7983 9757 13233 29271 39699 87813 355687 1067061 3201183 3912557 11737671 35213013