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114820000218 = 23271189930817
BaseRepresentation
bin110101011101111001…
…1100010100111011010
3101222101000002100122200
41222323303202213122
53340122410001333
6124425251031030
711203226620140
oct1527363424732
9358330070580
10114820000218
1144770995670
121a304b9b476
13aa9ac84a41
1457b33cb590
152ec0345c13
hex1abbce29da

114820000218 has 96 divisors (see below), whose sum is σ = 313648433280. Its totient is φ = 29488250880.

The previous prime is 114820000199. The next prime is 114820000219. The reversal of 114820000218 is 812000028411.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114820000191 and 114820000200.

It is not an unprimeable number, because it can be changed into a prime (114820000219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342055 + ... + 588762.

It is an arithmetic number, because the mean of its divisors is an integer number (3267171180).

Almost surely, 2114820000218 is an apocalyptic number.

114820000218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114820000218 is an abundant number, since it is smaller than the sum of its proper divisors (198828433062).

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

114820000218 is a wasteful number, since it uses less digits than its factorization.

114820000218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930932 (or 930929 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 114820000218 its reverse (812000028411), we get a palindrome (926820028629).

The spelling of 114820000218 in words is "one hundred fourteen billion, eight hundred twenty million, two hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 178 198 231 267 462 534 623 693 801 979 1246 1386 1602 1869 1958 2937 3738 5607 5874 6853 8811 11214 13706 17622 20559 41118 61677 123354 930817 1861634 2792451 5584902 6515719 8377353 10238987 13031438 16754706 19547157 20477974 30716961 39094314 58641471 61433922 71672909 82842713 92150883 117282942 143345818 165685426 184301766 215018727 248528139 430037454 497056278 579898991 645056181 745584417 911269843 1159797982 1290112362 1491168834 1739696973 1822539686 2733809529 3479393946 5219090919 5467619058 6378888901 8201428587 10438181838 12757777802 16402857174 19136666703 38273333406 57410000109 114820000218