Search a number
-
+
334133101 is a prime number
BaseRepresentation
bin10011111010100…
…111011101101101
3212021201201110001
4103322213131231
51141014224401
653053344301
711165040661
oct2372473555
9767651401
10334133101
11161678165
1293a98091
13542bc0c3
143253a8a1
151e502601
hex13ea776d

334133101 has 2 divisors, whose sum is σ = 334133102. Its totient is φ = 334133100.

The previous prime is 334133083. The next prime is 334133117. The reversal of 334133101 is 101331433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332187076 + 1946025 = 18226^2 + 1395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334133101 is a prime.

It is a super-2 number, since 2×3341331012 = 223289858367752402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334133161) 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 as a sum of consecutive naturals, namely, 167066550 + 167066551.

It is an arithmetic number, because the mean of its divisors is an integer number (167066551).

Almost surely, 2334133101 is an apocalyptic number.

It is an amenable number.

334133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

334133101 is an equidigital number, since it uses as much as digits as its factorization.

334133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 334133101 is about 18279.3080011252. The cubic root of 334133101 is about 693.9153593759.

Adding to 334133101 its reverse (101331433), we get a palindrome (435464534).

The spelling of 334133101 in words is "three hundred thirty-four million, one hundred thirty-three thousand, one hundred one".