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110403013120 = 2953110912763
BaseRepresentation
bin110011011010010001…
…0000100101000000000
3101112222011202011102221
41212310202010220000
53302101132404440
6122415103420424
710655614061551
oct1466442045000
9345864664387
10110403013120
1142904693904
12194918b4714
13a545b54aca
1454b4930328
152d126a3d4a
hex19b4884a00

110403013120 has 160 divisors (see below), whose sum is σ = 275775920640. Its totient is φ = 42341253120.

The previous prime is 110403013073. The next prime is 110403013163. The reversal of 110403013120 is 21310304011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110403013094 and 110403013103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8643859 + ... + 8656621.

It is an arithmetic number, because the mean of its divisors is an integer number (1723599504).

Almost surely, 2110403013120 is an apocalyptic number.

110403013120 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 110403013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887960320).

110403013120 is an abundant number, since it is smaller than the sum of its proper divisors (165372907520).

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

110403013120 is a wasteful number, since it uses less digits than its factorization.

110403013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12926 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110403013120 its reverse (21310304011), we get a palindrome (131713317131).

The spelling of 110403013120 in words is "one hundred ten billion, four hundred three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 109 124 128 155 160 218 248 256 310 320 436 496 512 545 620 640 872 992 1090 1240 1280 1744 1984 2180 2480 2560 3379 3488 3968 4360 4960 6758 6976 7936 8720 9920 12763 13516 13952 15872 16895 17440 19840 25526 27032 27904 33790 34880 39680 51052 54064 55808 63815 67580 69760 79360 102104 108128 127630 135160 139520 204208 216256 255260 270320 279040 395653 408416 432512 510520 540640 791306 816832 865024 1021040 1081280 1391167 1582612 1633664 1730048 1978265 2042080 2162560 2782334 3165224 3267328 3956530 4084160 4325120 5564668 6330448 6534656 6955835 7913060 8168320 8650240 11129336 12660896 13911670 15826120 16336640 22258672 25321792 27823340 31652240 32673280 43126177 44517344 50643584 55646680 63304480 86252354 89034688 101287168 111293360 126608960 172504708 178069376 202574336 215630885 222586720 253217920 345009416 356138752 431261770 445173440 506435840 690018832 712277504 862523540 890346880 1012871680 1380037664 1725047080 1780693760 2760075328 3450094160 3561387520 5520150656 6900188320 11040301312 13800376640 22080602624 27600753280 55201506560 110403013120