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1320901220 = 22566045061
BaseRepresentation
bin100111010111011…
…0101101001100100
310102001111201211102
41032232311221210
510201122314340
6335023255232
744506321652
oct11656655144
93361451742
101320901220
11618683701
1230a44a518
13180875672
14c7601dd2
157ae6d215
hex4ebb5a64

1320901220 has 12 divisors (see below), whose sum is σ = 2773892604. Its totient is φ = 528360480.

The previous prime is 1320901213. The next prime is 1320901229. The reversal of 1320901220 is 221090231.

It can be written as a sum of positive squares in 2 ways, for example, as 479785216 + 841116004 = 21904^2 + 29002^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 66045061 = 1320901220 / (1 + 3 + 2 + 0 + 9 + 0 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1320901192 and 1320901201.

It is not an unprimeable number, because it can be changed into a prime (1320901229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33022511 + ... + 33022550.

It is an arithmetic number, because the mean of its divisors is an integer number (231157717).

Almost surely, 21320901220 is an apocalyptic number.

1320901220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320901220 is an abundant number, since it is smaller than the sum of its proper divisors (1452991384).

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

1320901220 is a wasteful number, since it uses less digits than its factorization.

1320901220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66045070 (or 66045068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1320901220 is about 36344.2047649966. The cubic root of 1320901220 is about 1097.2109010346.

Adding to 1320901220 its reverse (221090231), we get a palindrome (1541991451).

The spelling of 1320901220 in words is "one billion, three hundred twenty million, nine hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 66045061 132090122 264180244 330225305 660450610 1320901220