Search a number
-
+
329808131 is a prime number
BaseRepresentation
bin10011101010000…
…111100100000011
3211222120222200222
4103222013210003
51133412330011
652420533255
711113215512
oct2352074403
9758528628
10329808131
1115a193804
129255122b
1353436653
1431b32679
151de4addb
hex13a87903

329808131 has 2 divisors, whose sum is σ = 329808132. Its totient is φ = 329808130.

The previous prime is 329808119. The next prime is 329808139. The reversal of 329808131 is 131808923.

It is a strong prime.

It is an emirp because it is prime and its reverse (131808923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 329808131 - 26 = 329808067 is a prime.

It is a super-2 number, since 2×3298081312 = 217546806547426322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 329808091 and 329808100.

It is not a weakly prime, because it can be changed into another prime (329808139) 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 as a sum of consecutive naturals, namely, 164904065 + 164904066.

It is an arithmetic number, because the mean of its divisors is an integer number (164904066).

Almost surely, 2329808131 is an apocalyptic number.

329808131 is a deficient number, since it is larger than the sum of its proper divisors (1).

329808131 is an equidigital number, since it uses as much as digits as its factorization.

329808131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 329808131 is about 18160.6203363211. The cubic root of 329808131 is about 690.9083681480.

The spelling of 329808131 in words is "three hundred twenty-nine million, eight hundred eight thousand, one hundred thirty-one".