Search a number
-
+
1201022020 = 2251141472833
BaseRepresentation
bin100011110010110…
…0010010001000100
310002200221020111001
41013211202101010
54424430201040
6315102023044
741522342632
oct10745422104
93080836431
101201022020
11566a44690
12296277a84
13161a91723
14b5718352
157068d59a
hex47962444

1201022020 has 96 divisors (see below), whose sum is σ = 2879525376. Its totient is φ = 416870400.

The previous prime is 1201021963. The next prime is 1201022041. The reversal of 1201022020 is 202201021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1201021988 and 1201022006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422524 + ... + 425356.

It is an arithmetic number, because the mean of its divisors is an integer number (29995056).

Almost surely, 21201022020 is an apocalyptic number.

1201022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439762688).

1201022020 is an abundant number, since it is smaller than the sum of its proper divisors (1678503356).

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

1201022020 is a wasteful number, since it uses less digits than its factorization.

1201022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1201022020 is about 34655.7645998469. The cubic root of 1201022020 is about 1062.9601664412.

Adding to 1201022020 its reverse (202201021), we get a palindrome (1403223041).

The spelling of 1201022020 in words is "one billion, two hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 47 55 82 94 110 164 188 205 220 235 410 451 470 517 820 902 940 1034 1804 1927 2068 2255 2585 2833 3854 4510 5170 5666 7708 9020 9635 10340 11332 14165 19270 21197 28330 31163 38540 42394 56660 62326 84788 105985 116153 124652 133151 155815 211970 232306 266302 311630 423940 464612 532604 580765 623260 665755 1161530 1277683 1331510 1464661 2323060 2555366 2663020 2929322 5110732 5459191 5858644 6388415 7323305 10918382 12776830 14646610 21836764 25553660 27295955 29293220 54591910 60051101 109183820 120102202 240204404 300255505 600511010 1201022020