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120132132 = 223174153271
BaseRepresentation
bin1110010100100…
…01001000100100
322101001100022020
413022101020210
5221223212012
615530503140
72656051311
oct712211044
9271040266
10120132132
11618a205a
1234294ab0
131bb72103
1411d51d08
15a82ea8c
hex7291224

120132132 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 35942400.

The previous prime is 120132113. The next prime is 120132143. The reversal of 120132132 is 231231021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443157 + ... + 443427.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2120132132 is an apocalyptic number.

120132132 is a gapful number since it is divisible by the number (12) 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 120132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

120132132 is an abundant number, since it is smaller than the sum of its proper divisors (190783452).

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

120132132 is a wasteful number, since it uses less digits than its factorization.

120132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120132132 is about 10960.4804639213. The cubic root of 120132132 is about 493.4233848680.

Adding to 120132132 its reverse (231231021), we get a palindrome (351363153).

It can be divided in two parts, 1201 and 32132, that added together give a palindrome (33333).

The spelling of 120132132 in words is "one hundred twenty million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 53 68 82 102 106 123 159 164 204 212 246 271 318 492 542 636 697 813 901 1084 1394 1626 1802 2091 2173 2703 2788 3252 3604 4182 4346 4607 5406 6519 8364 8692 9214 10812 11111 13038 13821 14363 18428 22222 26076 27642 28726 33333 36941 43089 44444 55284 57452 66666 73882 86178 110823 133332 147764 172356 188887 221646 244171 377774 443292 488342 566661 588883 732513 755548 976684 1133322 1177766 1465026 1766649 2266644 2355532 2930052 3533298 7066596 10011011 20022022 30033033 40044044 60066066 120132132