Search a number
-
+
213000041001 = 31170912777129
BaseRepresentation
bin1100011001011111001…
…0101011001000101001
3202100210100011012012110
43012113302223020221
511442211002303001
6241503442032533
721250224322116
oct3062762531051
9670710135173
10213000041001
1182372a74440
1235345348749
1317116706727
14a44885b90d
1558198d33d6
hex3197cab229

213000041001 has 32 divisors (see below), whose sum is σ = 310541731200. Its totient is φ = 128789844480.

The previous prime is 213000040933. The next prime is 213000041003. The reversal of 213000041001 is 100140000312.

It is a happy number.

213000041001 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 213000041001 - 226 = 212932932137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213000041003) 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 31 ways as a sum of consecutive naturals, for example, 29874405 + ... + 29881533.

It is an arithmetic number, because the mean of its divisors is an integer number (9704429100).

Almost surely, 2213000041001 is an apocalyptic number.

It is an amenable number.

213000041001 is a deficient number, since it is larger than the sum of its proper divisors (97541690199).

213000041001 is a wasteful number, since it uses less digits than its factorization.

213000041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213000041001 its reverse (100140000312), we get a palindrome (313140041313).

The spelling of 213000041001 in words is "two hundred thirteen billion, forty-one thousand, one".

Divisors: 1 3 11 33 709 1277 2127 3831 7129 7799 14047 21387 23397 42141 78419 235257 905393 2716179 5054461 9103733 9959323 15163383 27311199 29877969 55599071 100141063 166797213 300423189 6454546697 19363640091 71000013667 213000041001