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110020140240 = 24357125312551
BaseRepresentation
bin110011001110110110…
…1100001110011010000
3101111222111022012120220
41212131231201303100
53300310123441430
6122313105233040
710643254522233
oct1463555416320
9344874265526
10110020140240
114272855683a
12193a5632780
13a4b472c0ca
145479b4741a
152cddc75110
hex199db61cd0

110020140240 has 160 divisors (see below), whose sum is σ = 346138417152. Its totient is φ = 28902720000.

The previous prime is 110020140233. The next prime is 110020140253. The reversal of 110020140240 is 42041020011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43126965 + ... + 43129515.

Almost surely, 2110020140240 is an apocalyptic number.

110020140240 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 110020140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173069208576).

110020140240 is an abundant number, since it is smaller than the sum of its proper divisors (236118276912).

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

110020140240 is a wasteful number, since it uses less digits than its factorization.

110020140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 110020140240 its reverse (42041020011), we get a palindrome (152061160251).

The spelling of 110020140240 in words is "one hundred ten billion, twenty million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2531 2551 2840 3408 4260 5062 5102 5680 7593 7653 8520 10124 10204 12655 12755 15186 15306 17040 20248 20408 25310 25510 30372 30612 37965 38265 40496 40816 50620 51020 60744 61224 75930 76530 101240 102040 121488 122448 151860 153060 179701 181121 202480 204080 303720 306120 359402 362242 539103 543363 607440 612240 718804 724484 898505 905605 1078206 1086726 1437608 1448968 1797010 1811210 2156412 2173452 2695515 2716815 2875216 2897936 3594020 3622420 4312824 4346904 5391030 5433630 6456581 7188040 7244840 8625648 8693808 10782060 10867260 12913162 14376080 14489680 19369743 21564120 21734520 25826324 32282905 38739486 43128240 43469040 51652648 64565810 77478972 96848715 103305296 129131620 154957944 193697430 258263240 309915888 387394860 458417251 516526480 774789720 916834502 1375251753 1549579440 1833669004 2292086255 2750503506 3667338008 4584172510 5501007012 6876258765 7334676016 9168345020 11002014024 13752517530 18336690040 22004028048 27505035060 36673380080 55010070120 110020140240