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1132133120 = 2855711549
BaseRepresentation
bin100001101111010…
…1111101100000000
32220220022022200022
41003132233230000
54304311224440
6304201313012
740024654436
oct10336575400
92826268608
101132133120
11531072408
12277195768
13150721871
14aa504d56
15695d1cb5
hex437afb00

1132133120 has 72 divisors (see below), whose sum is σ = 2718315600. Its totient is φ = 451768320.

The previous prime is 1132133077. The next prime is 1132133137. The reversal of 1132133120 is 213312311.

It is a super-3 number, since 3×11321331203 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730106 + ... + 731654.

Almost surely, 21132133120 is an apocalyptic number.

1132133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359157800).

1132133120 is an abundant number, since it is smaller than the sum of its proper divisors (1586182480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132133120 is an equidigital number, since it uses as much as digits as its factorization.

1132133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1132133120 is about 33647.1859150212. The cubic root of 1132133120 is about 1042.2354283017.

Adding to 1132133120 its reverse (213312311), we get a palindrome (1345445431).

The spelling of 1132133120 in words is "one billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 571 640 1142 1280 1549 2284 2855 3098 4568 5710 6196 7745 9136 11420 12392 15490 18272 22840 24784 30980 36544 45680 49568 61960 73088 91360 99136 123920 146176 182720 198272 247840 365440 396544 495680 730880 884479 991360 1768958 1982720 3537916 4422395 7075832 8844790 14151664 17689580 28303328 35379160 56606656 70758320 113213312 141516640 226426624 283033280 566066560 1132133120