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1103100300120 = 2335713101016511
BaseRepresentation
bin10000000011010101111…
…001101100101101011000
310220110021221211022222010
4100003111321230231120
5121033122134100440
62202431323425520
7142460565562260
oct20032571545530
93813257738863
101103100300120
113959053a83a5
121599560852a0
13800391a9aa0
143b56713c7a0
151da62c58580
hex100d5e6cb58

1103100300120 has 128 divisors (see below), whose sum is σ = 4072985763840. Its totient is φ = 232742039040.

The previous prime is 1103100300109. The next prime is 1103100300139. The reversal of 1103100300120 is 210030013011.

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 = 1103100300096 and 1103100300105.

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, 50497336 + ... + 50519175.

It is an arithmetic number, because the mean of its divisors is an integer number (31820201280).

Almost surely, 21103100300120 is an apocalyptic number.

1103100300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103100300120 is an abundant number, since it is smaller than the sum of its proper divisors (2969885463720).

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

1103100300120 is a wasteful number, since it uses less digits than its factorization.

1103100300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101016545 (or 101016541 counting only the distinct ones).

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

Adding to 1103100300120 its reverse (210030013011), we get a palindrome (1313130313131).

The spelling of 1103100300120 in words is "one trillion, one hundred three billion, one hundred million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 101016511 202033022 303049533 404066044 505082555 606099066 707115577 808132088 1010165110 1212198132 1313214643 1414231154 1515247665 2020330220 2121346731 2424396264 2626429286 2828462308 3030495330 3535577885 3939643929 4040660440 4242693462 5252858572 5656924616 6060990660 6566073215 7071155770 7879287858 8485386924 9192502501 10505717144 10606733655 12121981320 13132146430 14142311540 15758575716 16970773848 18385005002 19698219645 21213467310 26264292860 27577507503 28284623080 31517151432 36770010004 39396439290 42426934620 45962512505 52528585720 55155015006 73540020008 78792878580 84853869240 91925025010 110310030012 137887537515 157585757160 183850050020 220620060024 275775075030 367700100040 551550150060 1103100300120