Search a number
-
+
3374133131 is a prime number
BaseRepresentation
bin1100100100011101…
…0010111110001011
322201011000201111202
43021013102332023
523402234230011
61314451214415
7146420441555
oct31107227613
98634021452
103374133131
111481679186
127a1ba740b
1341a06a1a5
142401964d5
1514b34823b
hexc91d2f8b

3374133131 has 2 divisors, whose sum is σ = 3374133132. Its totient is φ = 3374133130.

The previous prime is 3374133109. The next prime is 3374133137. The reversal of 3374133131 is 1313314733.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3374133131 - 26 = 3374133067 is a prime.

It is a super-3 number, since 3×33741331313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3374133094 and 3374133103.

It is not a weakly prime, because it can be changed into another prime (3374133137) 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, 1687066565 + 1687066566.

It is an arithmetic number, because the mean of its divisors is an integer number (1687066566).

Almost surely, 23374133131 is an apocalyptic number.

3374133131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3374133131 is an equidigital number, since it uses as much as digits as its factorization.

3374133131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 29.

The square root of 3374133131 is about 58087.2888935264. The cubic root of 3374133131 is about 1499.8715639661.

Adding to 3374133131 its reverse (1313314733), we get a palindrome (4687447864).

The spelling of 3374133131 in words is "three billion, three hundred seventy-four million, one hundred thirty-three thousand, one hundred thirty-one".