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110314380 = 223511192463
BaseRepresentation
bin1101001001101…
…00001110001100
321200120112212210
412210310032030
5211220030010
614540230420
72506441161
oct644641614
9250515783
10110314380
11572a6910
1230b3b410
1319b154a7
1410918068
159a40b20
hex693438c

110314380 has 144 divisors (see below), whose sum is σ = 356396544. Its totient is φ = 25280640.

The previous prime is 110314349. The next prime is 110314381. The reversal of 110314380 is 83413011.

It is a super-3 number, since 3×1103143803 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110314381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238029 + ... + 238491.

It is an arithmetic number, because the mean of its divisors is an integer number (2474976).

Almost surely, 2110314380 is an apocalyptic number.

110314380 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 110314380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

110314380 is an abundant number, since it is smaller than the sum of its proper divisors (246082164).

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

110314380 is a wasteful number, since it uses less digits than its factorization.

110314380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 110314380 is about 10503.0652668638. The cubic root of 110314380 is about 479.5980141371.

Adding to 110314380 its reverse (83413011), we get a palindrome (193727391).

The spelling of 110314380 in words is "one hundred ten million, three hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 463 570 627 660 722 836 926 1045 1083 1140 1254 1389 1444 1805 1852 2090 2166 2315 2508 2778 3135 3610 3971 4180 4332 4630 5093 5415 5556 6270 6945 7220 7942 8797 9260 10186 10830 11913 12540 13890 15279 15884 17594 19855 20372 21660 23826 25465 26391 27780 30558 35188 39710 43985 47652 50930 52782 59565 61116 76395 79420 87970 96767 101860 105564 119130 131955 152790 167143 175940 193534 238260 263910 290301 305580 334286 387068 483835 501429 527820 580602 668572 835715 967670 1002858 1161204 1451505 1671430 1838573 1935340 2005716 2507145 2903010 3342860 3677146 5014290 5515719 5806020 7354292 9192865 10028580 11031438 18385730 22062876 27578595 36771460 55157190 110314380