Search a number
-
+
330040100413981 is a prime number
BaseRepresentation
bin100101100001010110111001…
…0111100100110001000011101
31121021120112012001122102221001
41023002231302330212020131
5321224334111201221411
63125534155022310301
7126342416234105236
oct11302556274461035
91537515161572831
10330040100413981
1196185247613081
1231023b95a28391
1311220856653679
145b7005184c08d
152825178d56dc1
hex12c2b72f2621d

330040100413981 has 2 divisors, whose sum is σ = 330040100413982. Its totient is φ = 330040100413980.

The previous prime is 330040100413979. The next prime is 330040100414051. The reversal of 330040100413981 is 189314001040033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226720295730756 + 103319804683225 = 15057234^2 + 10164635^2 .

It is a cyclic number.

It is not a de Polignac number, because 330040100413981 - 21 = 330040100413979 is a prime.

It is a super-2 number, since 2×3300401004139812 (a number of 30 digits) contains 22 as substring.

Together with 330040100413979, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 330040100413981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330040100413381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165020050206990 + 165020050206991.

It is an arithmetic number, because the mean of its divisors is an integer number (165020050206991).

Almost surely, 2330040100413981 is an apocalyptic number.

It is an amenable number.

330040100413981 is a deficient number, since it is larger than the sum of its proper divisors (1).

330040100413981 is an equidigital number, since it uses as much as digits as its factorization.

330040100413981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 330040100413981 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred thirteen thousand, nine hundred eighty-one".