Search a number
-
+
120102110110000 = 245419632116369
BaseRepresentation
bin11011010011101101110011…
…100111000010000100110000
3120202020122112112222001221101
4123103231303213002010300
5111220223110142010000
61103234051522534144
734204043151614644
oct3323556347020460
9522218475861841
10120102110110000
11352a5023113177
1211578715807354
135202771156bc5
142192d8a44cc24
15dd41e8c52e6a
hex6d3b739c2130

120102110110000 has 100 divisors (see below), whose sum is σ = 306083388681400. Its totient is φ = 45512378496000.

The previous prime is 120102110109979. The next prime is 120102110110001. The reversal of 120102110110000 is 11011201021.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120102110110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 315868185 + ... + 316248184.

It is an arithmetic number, because the mean of its divisors is an integer number (3060833886814).

Almost surely, 2120102110110000 is an apocalyptic number.

120102110110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102110110000 is an abundant number, since it is smaller than the sum of its proper divisors (185981278571400).

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

120102110110000 is an equidigital number, since it uses as much as digits as its factorization.

120102110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632116416 (or 632116395 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120102110110000 its reverse (11011201021), we get a palindrome (120113121311021).

The spelling of 120102110110000 in words is "one hundred twenty trillion, one hundred two billion, one hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 7600 9500 10000 11875 19000 23750 38000 47500 95000 190000 632116369 1264232738 2528465476 3160581845 5056930952 6321163690 10113861904 12010211011 12642327380 15802909225 24020422022 25284654760 31605818450 48040844044 50569309520 60051055055 63211636900 79014546125 96081688088 120102110110 126423273800 158029092250 192163376176 240204220220 252846547600 300255275275 316058184500 395072730625 480408440440 600510550550 632116369000 790145461250 960816880880 1201021101100 1264232738000 1501276376375 1580290922500 2402042202200 3002552752750 3160581845000 4804084404400 6005105505500 6321163690000 7506381881875 12010211011000 15012763763750 24020422022000 30025527527500 60051055055000 120102110110000