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110132120 = 23571721361
BaseRepresentation
bin1101001000001…
…11101110011000
321200020021212102
412210013232120
5211143211440
614532302532
72505051620
oct644075630
9250207772
10110132120
115719198a
1230a71a48
1319a80547
14108ab880
159a06b15
hex6907b98

110132120 has 96 divisors (see below), whose sum is σ = 301056480. Its totient is φ = 35512320.

The previous prime is 110132101. The next prime is 110132123. The reversal of 110132120 is 21231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110132123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80240 + ... + 81600.

It is an arithmetic number, because the mean of its divisors is an integer number (3136005).

Almost surely, 2110132120 is an apocalyptic number.

110132120 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 110132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150528240).

110132120 is an abundant number, since it is smaller than the sum of its proper divisors (190924360).

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

110132120 is a wasteful number, since it uses less digits than its factorization.

110132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1392 counting only the distinct ones).

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

The square root of 110132120 is about 10494.3851654111. The cubic root of 110132120 is about 479.3337399830. Note that the first 3 decimals are identical.

Adding to 110132120 its reverse (21231011), we get a palindrome (131363131).

The spelling of 110132120 in words is "one hundred ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 289 340 476 578 595 680 952 1156 1190 1361 1445 2023 2312 2380 2722 2890 4046 4760 5444 5780 6805 8092 9527 10115 10888 11560 13610 16184 19054 20230 23137 27220 38108 40460 46274 47635 54440 76216 80920 92548 95270 115685 161959 185096 190540 231370 323918 381080 393329 462740 647836 786658 809795 925480 1295672 1573316 1619590 1966645 2753303 3146632 3239180 3933290 5506606 6478360 7866580 11013212 13766515 15733160 22026424 27533030 55066060 110132120