Search a number
-
+
1001221320 = 233511758501
BaseRepresentation
bin111011101011010…
…110110011001000
32120202222022110010
4323223112303020
54022303040240
6243203351520
733545145411
oct7353266310
92522868403
101001221320
11474188440
1223b3825a0
1312c577068
1496d88808
155cd73280
hex3bad6cc8

1001221320 has 64 divisors (see below), whose sum is σ = 3276728640. Its totient is φ = 242720000.

The previous prime is 1001221301. The next prime is 1001221343. The reversal of 1001221320 is 231221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001221296 and 1001221305.

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, 377931 + ... + 380570.

It is an arithmetic number, because the mean of its divisors is an integer number (51198885).

Almost surely, 21001221320 is an apocalyptic number.

1001221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001221320 is an abundant number, since it is smaller than the sum of its proper divisors (2275507320).

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

1001221320 is a wasteful number, since it uses less digits than its factorization.

1001221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758526 (or 758522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001221320 is about 31642.0814738854. The cubic root of 1001221320 is about 1000.4069410432.

Adding to 1001221320 its reverse (231221001), we get a palindrome (1232442321).

The spelling of 1001221320 in words is "one billion, one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 758501 1517002 2275503 3034004 3792505 4551006 6068008 7585010 8343511 9102012 11377515 15170020 16687022 18204024 22755030 25030533 30340040 33374044 41717555 45510060 50061066 66748088 83435110 91020120 100122132 125152665 166870220 200244264 250305330 333740440 500610660 1001221320