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2002310201120 = 25515779709801
BaseRepresentation
bin11101001000110010111…
…111001111111100100000
321002102022102220020010112
4131020302333033330200
5230301212402413440
64131503144350452
7264443053614215
oct35106277177440
97072272806115
102002310201120
117021a19aa109
12284089775428
13116a8106b798
146ccab615b0c
1537140c16965
hex1d232fcff20

2002310201120 has 48 divisors (see below), whose sum is σ = 4760588214648. Its totient is φ = 795822643200.

The previous prime is 2002310201117. The next prime is 2002310201173. The reversal of 2002310201120 is 211020132002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1405751694736 + 596558506384 = 1185644^2 + 772372^2 .

It is a super-2 number, since 2×20023102011202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002310201095 and 2002310201104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39829781 + ... + 39880020.

Almost surely, 22002310201120 is an apocalyptic number.

2002310201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002310201120 is an abundant number, since it is smaller than the sum of its proper divisors (2758278013528).

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

2002310201120 is a wasteful number, since it uses less digits than its factorization.

2002310201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79709973 (or 79709965 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2002310201120 its reverse (211020132002), we get a palindrome (2213330333122).

The spelling of 2002310201120 in words is "two trillion, two billion, three hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 79709801 159419602 318839204 398549005 637678408 797098010 1275356816 1594196020 2550713632 3188392040 6376784080 12514438757 12753568160 25028877514 50057755028 62572193785 100115510056 125144387570 200231020112 250288775140 400462040224 500577550280 1001155100560 2002310201120