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112342120 = 235111723653
BaseRepresentation
bin1101011001000…
…11010001101000
321211101120102021
412230203101220
5212224421440
615051514224
72532615022
oct654432150
9254346367
10112342120
1158461330
1231758974
131a375437
1410cc5012
159ce184a
hex6b23468

112342120 has 128 divisors (see below), whose sum is σ = 305130240. Its totient is φ = 36720640.

The previous prime is 112342099. The next prime is 112342123. The reversal of 112342120 is 21243211.

It is a junction number, because it is equal to n+sod(n) for n = 112342094 and 112342103.

It is not an unprimeable number, because it can be changed into a prime (112342123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171714 + ... + 172366.

It is an arithmetic number, because the mean of its divisors is an integer number (2383830).

Almost surely, 2112342120 is an apocalyptic number.

112342120 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 112342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152565120).

112342120 is an abundant number, since it is smaller than the sum of its proper divisors (192788120).

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

112342120 is a wasteful number, since it uses less digits than its factorization.

112342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112342120 is about 10599.1565702182. The cubic root of 112342120 is about 482.5187621902.

Adding to 112342120 its reverse (21243211), we get a palindrome (133585331).

The spelling of 112342120 in words is "one hundred twelve million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 653 680 748 782 920 935 1012 1265 1306 1496 1564 1870 1955 2024 2530 2612 3128 3265 3740 3910 4301 5060 5224 6530 7183 7480 7820 8602 10120 11101 13060 14366 15019 15640 17204 21505 22202 26120 28732 30038 34408 35915 43010 44404 55505 57464 60076 71830 75095 86020 88808 111010 120152 122111 143660 150190 165209 172040 222020 244222 255323 287320 300380 330418 444040 488444 510646 600760 610555 660836 826045 976888 1021292 1221110 1276615 1321672 1652090 2042584 2442220 2553230 2808553 3304180 4884440 5106460 5617106 6608360 10212920 11234212 14042765 22468424 28085530 56171060 112342120