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1132332120 = 233253145367
BaseRepresentation
bin100001101111110…
…0000010001011000
32220220200102122200
41003133200101120
54304334111440
6304205450200
740026443553
oct10337402130
92826612580
101132332120
11531198977
12277270960
1315079130a
14aa55769a
1569620c30
hex437e0458

1132332120 has 48 divisors (see below), whose sum is σ = 3680080560. Its totient is φ = 301955136.

The previous prime is 1132332083. The next prime is 1132332197. The reversal of 1132332120 is 212332311.

1132332120 is a `hidden beast` number, since 1 + 1 + 323 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132332093 and 1132332102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1572324 + ... + 1573043.

It is an arithmetic number, because the mean of its divisors is an integer number (76668345).

Almost surely, 21132332120 is an apocalyptic number.

1132332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132332120 is an abundant number, since it is smaller than the sum of its proper divisors (2547748440).

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

1132332120 is a wasteful number, since it uses less digits than its factorization.

1132332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145384 (or 3145377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1132332120 is about 33650.1429417469. The cubic root of 1132332120 is about 1042.2964908204.

Adding to 1132332120 its reverse (212332311), we get a palindrome (1344664431).

The spelling of 1132332120 in words is "one billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3145367 6290734 9436101 12581468 15726835 18872202 25162936 28308303 31453670 37744404 47180505 56616606 62907340 75488808 94361010 113233212 125814680 141541515 188722020 226466424 283083030 377444040 566166060 1132332120