Search a number
-
+
331144081 is a prime number
BaseRepresentation
bin10011101111001…
…101101110010001
3212002002212021121
4103233031232101
51134233102311
652505322241
711130451432
oct2357155621
9762085247
10331144081
1115aa164a4
1292a96381
13537b3758
1431d9d489
151e111b71
hex13bcdb91

331144081 has 2 divisors, whose sum is σ = 331144082. Its totient is φ = 331144080.

The previous prime is 331144067. The next prime is 331144097. The reversal of 331144081 is 180441133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281568400 + 49575681 = 16780^2 + 7041^2 .

It is a cyclic number.

It is not a de Polignac number, because 331144081 - 223 = 322755473 is a prime.

It is a super-2 number, since 2×3311440812 = 219312804762669122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165572040 + 165572041.

It is an arithmetic number, because the mean of its divisors is an integer number (165572041).

Almost surely, 2331144081 is an apocalyptic number.

It is an amenable number.

331144081 is a deficient number, since it is larger than the sum of its proper divisors (1).

331144081 is an equidigital number, since it uses as much as digits as its factorization.

331144081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 331144081 is about 18197.3646718419. The cubic root of 331144081 is about 691.8399962244.

The spelling of 331144081 in words is "three hundred thirty-one million, one hundred forty-four thousand, eighty-one".