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2201302012 = 2271310756519
BaseRepresentation
bin1000001100110101…
…0011001111111100
312200102010201200011
42003031103033330
514002013131022
61002233313004
7105356521060
oct20315231774
95612121604
102201302012
11a2a639868
12515265764
13291099190
1416c4d9aa0
15cd3c7977
hex833533fc

2201302012 has 48 divisors (see below), whose sum is σ = 4785661440. Its totient is φ = 862690752.

The previous prime is 2201302007. The next prime is 2201302027. The reversal of 2201302012 is 2102031022.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2201301983 and 2201302001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10689 + ... + 67207.

It is an arithmetic number, because the mean of its divisors is an integer number (99701280).

Almost surely, 22201302012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392830720).

2201302012 is an abundant number, since it is smaller than the sum of its proper divisors (2584359428).

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

2201302012 is a wasteful number, since it uses less digits than its factorization.

2201302012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56650 (or 56648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2201302012 is about 46918.0350398437. The cubic root of 2201302012 is about 1300.8479698391.

Adding to 2201302012 its reverse (2102031022), we get a palindrome (4303333034).

The spelling of 2201302012 in words is "two billion, two hundred one million, three hundred two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 107 182 214 364 428 749 1391 1498 2782 2996 5564 9737 19474 38948 56519 113038 226076 395633 734747 791266 1469494 1582532 2938988 5143229 6047533 10286458 12095066 20572916 24190132 42332731 78617929 84665462 157235858 169330924 314471716 550325503 1100651006 2201302012