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132110120 = 2357997431
BaseRepresentation
bin1111101111111…
…01011100101000
3100012120220000102
413313331130220
5232310010440
621035324532
73162626462
oct767753450
9305526012
10132110120
116863331a
12382b0748
13214a708c
141378d132
15b8e8b15
hex7dfd728

132110120 has 64 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 51517440.

The previous prime is 132110113. The next prime is 132110123. The reversal of 132110120 is 21011231.

It is not an unprimeable number, because it can be changed into a prime (132110123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306305 + ... + 306735.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2132110120 is an apocalyptic number.

132110120 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 132110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

132110120 is an abundant number, since it is smaller than the sum of its proper divisors (172709080).

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

132110120 is a wasteful number, since it uses less digits than its factorization.

132110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 132110120 is about 11493.9166518642. The cubic root of 132110120 is about 509.3058864413.

Adding to 132110120 its reverse (21011231), we get a palindrome (153121351).

The spelling of 132110120 in words is "one hundred thirty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 97 158 194 316 388 395 431 485 632 776 790 862 970 1580 1724 1940 2155 3160 3448 3880 4310 7663 8620 15326 17240 30652 34049 38315 41807 61304 68098 76630 83614 136196 153260 167228 170245 209035 272392 306520 334456 340490 418070 680980 836140 1361960 1672280 3302753 6605506 13211012 16513765 26422024 33027530 66055060 132110120