Search a number
-
+
2002221120012 = 2231921074319563
BaseRepresentation
bin11101001000101101101…
…011011011101000001100
321002102002020021102211020
4131020231223123220030
5230301022101320022
64131450243154140
7264440622466431
oct35105553335014
97072066242736
102002221120012
11702156696163
12284063975950
13116a6877bb79
146cc9d867b88
1537137ebc35c
hex1d22dadba0c

2002221120012 has 72 divisors (see below), whose sum is σ = 4976759745216. Its totient is φ = 626371046496.

The previous prime is 2002221119923. The next prime is 2002221120041. The reversal of 2002221120012 is 2100211222002.

It is a junction number, because it is equal to n+sod(n) for n = 2002221119973 and 2002221120000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696258 + ... + 2623305.

It is an arithmetic number, because the mean of its divisors is an integer number (69121663128).

Almost surely, 22002221120012 is an apocalyptic number.

It is an amenable number.

2002221120012 is an abundant number, since it is smaller than the sum of its proper divisors (2974538625204).

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

2002221120012 is a wasteful number, since it uses less digits than its factorization.

2002221120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319715 (or 4319694 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002221120012 its reverse (2100211222002), we get a palindrome (4102432342014).

The spelling of 2002221120012 in words is "two trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 361 428 642 722 1083 1284 1444 2033 2166 4066 4332 6099 8132 12198 24396 38627 77254 115881 154508 231762 463524 4319563 8639126 12958689 17278252 25917378 51834756 82071697 164143394 246215091 328286788 462193241 492430182 924386482 984860364 1386579723 1559362243 1848772964 2773159446 3118724486 4678086729 5546318892 6237448972 8781671579 9356173458 17563343158 18712346916 26345014737 35126686316 52690029474 105380058948 166851760001 333703520002 500555280003 667407040004 1001110560006 2002221120012