Search a number
-
+
3133267381 is a prime number
BaseRepresentation
bin1011101011000001…
…1101110110110101
322002100210110211001
42322300131312311
522404104024011
61234524443301
7140434222216
oct27260356665
98070713731
103133267381
111368714182
127353a9531
133ac1a528a
1421a1b740d
1513511a7c1
hexbac1ddb5

3133267381 has 2 divisors, whose sum is σ = 3133267382. Its totient is φ = 3133267380.

The previous prime is 3133267363. The next prime is 3133267421. The reversal of 3133267381 is 1837623313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1894860900 + 1238406481 = 43530^2 + 35191^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133267381 - 215 = 3133234613 is a prime.

It is a super-2 number, since 2×31332673812 = 19634728961677198322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3133267381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133267321) 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, 1566633690 + 1566633691.

It is an arithmetic number, because the mean of its divisors is an integer number (1566633691).

Almost surely, 23133267381 is an apocalyptic number.

It is an amenable number.

3133267381 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133267381 is an equidigital number, since it uses as much as digits as its factorization.

3133267381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 37.

The square root of 3133267381 is about 55975.5962987443. The cubic root of 3133267381 is about 1463.2970121496.

The spelling of 3133267381 in words is "three billion, one hundred thirty-three million, two hundred sixty-seven thousand, three hundred eighty-one".