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110013323220 = 223253743338149
BaseRepresentation
bin110011001110101001…
…1100001011111010100
3101111222000110212101200
41212131103201133110
53300301402320340
6122312303152500
710643142550443
oct1463523413724
9344860425350
10110013323220
1142724720039
12193a32a5730
13a4b31b3278
145478c90d5a
152cdd37a330
hex199d4e17d4

110013323220 has 144 divisors (see below), whose sum is σ = 343526710800. Its totient is φ = 28477329408.

The previous prime is 110013323219. The next prime is 110013323237. The reversal of 110013323220 is 22323310011.

110013323220 is a `hidden beast` number, since 1 + 10 + 0 + 1 + 332 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3264751044 + 106748572176 = 57138^2 + 326724^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110013323193 and 110013323202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864706 + ... + 2902854.

Almost surely, 2110013323220 is an apocalyptic number.

110013323220 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 110013323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171763355400).

110013323220 is an abundant number, since it is smaller than the sum of its proper divisors (233513387580).

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

110013323220 is a wasteful number, since it uses less digits than its factorization.

110013323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38634 (or 38629 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110013323220 its reverse (22323310011), we get a palindrome (132336633231).

The spelling of 110013323220 in words is "one hundred ten billion, thirteen million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 433 444 555 666 740 866 1110 1299 1332 1665 1732 2165 2220 2598 3330 3897 4330 5196 6495 6660 7794 8660 12990 15588 16021 19485 25980 32042 38149 38970 48063 64084 76298 77940 80105 96126 114447 144189 152596 160210 190745 192252 228894 240315 288378 320420 343341 381490 457788 480630 572235 576756 686682 720945 762980 961260 1144470 1373364 1411513 1441890 1716705 2288940 2823026 2883780 3433410 4234539 5646052 6866820 7057565 8469078 12703617 14115130 16518517 16938156 21172695 25407234 28230260 33037034 42345390 49555551 50814468 63518085 66074068 82592585 84690780 99111102 127036170 148666653 165185170 198222204 247777755 254072340 297333306 330370340 495555510 594666612 611185129 743333265 991111020 1222370258 1486666530 1833555387 2444740516 2973333060 3055925645 3667110774 5500666161 6111851290 7334221548 9167776935 11001332322 12223702580 18335553870 22002664644 27503330805 36671107740 55006661610 110013323220