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1131005133 = 33294773421
BaseRepresentation
bin100001101101001…
…1100010011001101
32220211012000101000
41003122130103031
54304014131013
6304121210513
740012246026
oct10332342315
92824160330
101131005133
11530471995
12276930a39
1315041830b
14aa2cdc4d
156945c973
hex4369c4cd

1131005133 has 64 divisors (see below), whose sum is σ = 1798732800. Its totient is φ = 701084160.

The previous prime is 1131005129. The next prime is 1131005143. The reversal of 1131005133 is 3315001311.

It is not a de Polignac number, because 1131005133 - 22 = 1131005129 is a prime.

It is a super-2 number, since 2×11310051332 = 2558345221744695378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131005143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2686263 + ... + 2686683.

It is an arithmetic number, because the mean of its divisors is an integer number (28105200).

Almost surely, 21131005133 is an apocalyptic number.

It is an amenable number.

1131005133 is a deficient number, since it is larger than the sum of its proper divisors (667727667).

1131005133 is a wasteful number, since it uses less digits than its factorization.

1131005133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1131005133 is about 33630.4197565240. The cubic root of 1131005133 is about 1041.8891737696.

Adding to 1131005133 its reverse (3315001311), we get a palindrome (4446006444).

The spelling of 1131005133 in words is "one billion, one hundred thirty-one million, five thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 47 73 87 141 219 261 421 423 657 783 1263 1269 1363 1971 2117 3431 3789 4089 6351 10293 11367 12209 12267 19053 19787 30733 30879 36627 36801 57159 59361 92199 92637 99499 109881 178083 276597 298497 329643 534249 573823 829791 891257 895491 1444451 1721469 2673771 2686473 4333353 5164407 8021313 13000059 15493221 24063939 39000177 41889079 125667237 377001711 1131005133