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110103001320 = 233513312276737
BaseRepresentation
bin110011010001010100…
…1100111100011101000
3101112012021012222121210
41212202221213203220
53300442332020240
6122325225233120
710645312032564
oct1464251474350
9345167188553
10110103001320
1142770301574
12194093327a0
13a4c8951830
145486b566a4
152ce6191780
hex19a2a678e8

110103001320 has 128 divisors (see below), whose sum is σ = 367192304640. Its totient is φ = 26227998720.

The previous prime is 110103001319. The next prime is 110103001339. The reversal of 110103001320 is 23100301011.

110103001320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110103001296 and 110103001305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090009 + ... + 1186728.

It is an arithmetic number, because the mean of its divisors is an integer number (2868689880).

Almost surely, 2110103001320 is an apocalyptic number.

110103001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110103001320 is an abundant number, since it is smaller than the sum of its proper divisors (257089303320).

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

110103001320 is a wasteful number, since it uses less digits than its factorization.

110103001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276795 (or 2276791 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110103001320 its reverse (23100301011), we get a palindrome (133203302331).

The spelling of 110103001320 in words is "one hundred ten billion, one hundred three million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 2276737 4553474 6830211 9106948 11383685 13660422 18213896 22767370 27320844 29597581 34151055 45534740 54641688 59195162 68302110 70578847 88792743 91069480 118390324 136604220 141157694 147987905 177585486 211736541 236780648 273208440 282315388 295975810 352894235 355170972 423473082 443963715 564630776 591951620 705788470 710341944 846946164 887927430 917525011 1058682705 1183903240 1411576940 1693892328 1775854860 1835050022 2117365410 2752575033 2823153880 3551709720 3670100044 4234730820 4587625055 5505150066 7340200088 8469461640 9175250110 11010300132 13762875165 18350500220 22020600264 27525750330 36701000440 55051500660 110103001320