Search a number
-
+
2971361133 = 3213179715401
BaseRepresentation
bin1011000100011011…
…0101111101101101
321200002010210012100
42301012311331231
522041132024013
61210502325313
7133430103306
oct26106657555
97602123170
102971361133
11129528a664
126ab129839
13384797c70
142028ad7ad
15125cd8473
hexb11b5f6d

2971361133 has 48 divisors (see below), whose sum is σ = 4944781296. Its totient is φ = 1703116800.

The previous prime is 2971361131. The next prime is 2971361149. The reversal of 2971361133 is 3311631792.

2971361133 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 3 + 611 + 33 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 225810729 + 2745550404 = 15027^2 + 52398^2 .

It is not a de Polignac number, because 2971361133 - 21 = 2971361131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971361131) 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 in 47 ways as a sum of consecutive naturals, for example, 185233 + ... + 200633.

It is an arithmetic number, because the mean of its divisors is an integer number (103016277).

Almost surely, 22971361133 is an apocalyptic number.

It is an amenable number.

2971361133 is a deficient number, since it is larger than the sum of its proper divisors (1973420163).

2971361133 is a wasteful number, since it uses less digits than its factorization.

2971361133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15531 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 2971361133 is about 54510.1929275617. The cubic root of 2971361133 is about 1437.6455114503.

The spelling of 2971361133 in words is "two billion, nine hundred seventy-one million, three hundred sixty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 97 117 153 221 291 663 873 1261 1649 1989 3783 4947 11349 14841 15401 21437 46203 64311 138609 192933 200213 261817 600639 785451 1493897 1801917 2356353 3403621 4481691 10210863 13445073 19420661 25396249 30632589 58261983 76188747 174785949 228566241 330151237 990453711 2971361133