Search a number
-
+
1143322131 = 371719732309
BaseRepresentation
bin100010000100101…
…1011011000010011
32221200100210010010
41010021123120103
54320142302011
6305241210003
740222035450
oct10411333023
92850323103
101143322131
11537414926
1227aa90903
13152b3b693
14abbb8827
156a5921a6
hex4425b613

1143322131 has 64 divisors (see below), whose sum is σ = 1969228800. Its totient is φ = 574304256.

The previous prime is 1143322123. The next prime is 1143322133. The reversal of 1143322131 is 1312233411.

It is not a de Polignac number, because 1143322131 - 23 = 1143322123 is a prime.

It is a super-2 number, since 2×11433221312 = 2614370990468762322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1143322098 and 1143322107.

It is not an unprimeable number, because it can be changed into a prime (1143322133) 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 in 63 ways as a sum of consecutive naturals, for example, 494005 + ... + 496313.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 21143322131 is an apocalyptic number.

1143322131 is a deficient number, since it is larger than the sum of its proper divisors (825906669).

1143322131 is a wasteful number, since it uses less digits than its factorization.

1143322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428.

The product of its digits is 432, while the sum is 21.

The square root of 1143322131 is about 33813.0467571321. The cubic root of 1143322131 is about 1045.6576924039.

Adding to 1143322131 its reverse (1312233411), we get a palindrome (2455555542).

The spelling of 1143322131 in words is "one billion, one hundred forty-three million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 17 19 21 51 57 73 119 133 219 323 357 399 511 969 1241 1387 1533 2261 2309 3723 4161 6783 6927 8687 9709 16163 23579 26061 29127 39253 43871 48489 70737 117759 131613 165053 168557 274771 307097 495159 505671 745807 824313 921291 1179899 2237421 2865469 3202583 3539697 5220649 8596407 9607749 15661947 20058283 22418081 54443911 60174849 67254243 163331733 381107377 1143322131