Search a number
-
+
331001029592669 is a prime number
BaseRepresentation
bin100101101000010110010111…
…0110010100000011001011101
31121101222101111212102111110002
41023100230232302200121131
5321341110102033431134
63131551435045424045
7126502015036260242
oct11320545662403135
91541871455374402
10331001029592669
11965158260316a7
123115a27310b025
131129035620b517
145ba476cc7b5c9
15284016a47887e
hex12d0b2eca065d

331001029592669 has 2 divisors, whose sum is σ = 331001029592670. Its totient is φ = 331001029592668.

The previous prime is 331001029592641. The next prime is 331001029592729. The reversal of 331001029592669 is 966295920100133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262918117562500 + 68082912030169 = 16214750^2 + 8251237^2 .

It is a cyclic number.

It is not a de Polignac number, because 331001029592669 - 212 = 331001029588573 is a prime.

It is a super-2 number, since 2×3310010295926692 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331001029592609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500514796334 + 165500514796335.

It is an arithmetic number, because the mean of its divisors is an integer number (165500514796335).

Almost surely, 2331001029592669 is an apocalyptic number.

It is an amenable number.

331001029592669 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001029592669 is an equidigital number, since it uses as much as digits as its factorization.

331001029592669 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4723920, while the sum is 56.

The spelling of 331001029592669 in words is "three hundred thirty-one trillion, one billion, twenty-nine million, five hundred ninety-two thousand, six hundred sixty-nine".