Search a number
-
+
1001341220 = 2251113733223
BaseRepresentation
bin111011101011110…
…100000100100100
32120210012101220212
4323223310010210
54022320404340
6243210114552
733546155105
oct7353640444
92523171825
101001341220
1147425a530
1223b41ba58
1312c5b97c9
1496dba3ac
155cd98a65
hex3baf4124

1001341220 has 48 divisors (see below), whose sum is σ = 2310795648. Its totient is φ = 361455360.

The previous prime is 1001341213. The next prime is 1001341247. The reversal of 1001341220 is 221431001.

1001341220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001341195 and 1001341204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13529 + ... + 46751.

It is an arithmetic number, because the mean of its divisors is an integer number (48141576).

Almost surely, 21001341220 is an apocalyptic number.

1001341220 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 1001341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155397824).

1001341220 is an abundant number, since it is smaller than the sum of its proper divisors (1309454428).

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

1001341220 is a wasteful number, since it uses less digits than its factorization.

1001341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33380 (or 33378 counting only the distinct ones).

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

The square root of 1001341220 is about 31643.9760460028. The cubic root of 1001341220 is about 1000.4468736076.

Adding to 1001341220 its reverse (221431001), we get a palindrome (1222772221).

The spelling of 1001341220 in words is "one billion, one million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 33223 66446 132892 166115 332230 365453 664460 730906 1461812 1827265 3654530 4551551 7309060 9103102 18206204 22757755 45515510 50067061 91031020 100134122 200268244 250335305 500670610 1001341220