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110001011120 = 245711131373639
BaseRepresentation
bin110011001110010010…
…0100011100110110000
3101111221011022100100222
41212130210203212300
53300240224323440
6122311143232212
710642633111220
oct1463444434660
9344834270328
10110001011120
1142718780850
121939b148668
13a4b07921c0
1454773a8080
152cdc2472b5
hex199c9239b0

110001011120 has 160 divisors (see below), whose sum is σ = 343388021760. Its totient is φ = 31648619520.

The previous prime is 110001011093. The next prime is 110001011129. The reversal of 110001011120 is 21110100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110001011098 and 110001011107.

It is not an unprimeable number, because it can be changed into a prime (110001011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606740 + ... + 766899.

It is an arithmetic number, because the mean of its divisors is an integer number (2146175136).

Almost surely, 2110001011120 is an apocalyptic number.

110001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001011120 is an abundant number, since it is smaller than the sum of its proper divisors (233387010640).

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

110001011120 is a wasteful number, since it uses less digits than its factorization.

110001011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373683 (or 1373677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110001011120 its reverse (21110100011), we get a palindrome (131111111131).

The spelling of 110001011120 in words is "one hundred ten billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 1373639 2747278 5494556 6868195 9615473 10989112 13736390 15110029 17857307 19230946 21978224 27472780 30220058 35714614 38461892 48077365 54945560 60440116 71429228 75550145 76923784 89286535 96154730 105770203 109891120 120880232 125001149 142858456 151100290 153847568 178573070 192309460 196430377 211540406 241760464 250002298 285716912 302200580 357146140 384618920 392860754 423080812 500004596 528851015 604401160 625005745 714292280 769237840 785721508 846161624 982151885 1000009192 1057702030 1208802320 1250011490 1375012639 1428584560 1571443016 1692323248 1964303770 2000018384 2115404060 2500022980 2750025278 3142886032 3928607540 4230808120 5000045960 5500050556 6875063195 7857215080 8461616240 10000091920 11000101112 13750126390 15714430160 22000202224 27500252780 55000505560 110001011120