Search a number
-
+
1320103020 = 223537594641
BaseRepresentation
bin100111010101111…
…0010110001101100
310102000000011220110
41032223302301230
510200421244040
6334554220020
744466455565
oct11653626154
93360004813
101320103020
11618188a35
1230a124610
13180656262
14c747516c
157ad61980
hex4eaf2c6c

1320103020 has 48 divisors (see below), whose sum is σ = 3796194528. Its totient is φ = 342512640.

The previous prime is 1320103007. The next prime is 1320103021. The reversal of 1320103020 is 203010231.

It is a happy number.

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 = 1320102987 and 1320103005.

It is not an unprimeable number, because it can be changed into a prime (1320103021) 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 15 ways as a sum of consecutive naturals, for example, 295101 + ... + 299540.

It is an arithmetic number, because the mean of its divisors is an integer number (79087386).

Almost surely, 21320103020 is an apocalyptic number.

1320103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320103020 is an abundant number, since it is smaller than the sum of its proper divisors (2476091508).

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

1320103020 is a wasteful number, since it uses less digits than its factorization.

1320103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594690 (or 594688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320103020 is about 36333.2219875970. The cubic root of 1320103020 is about 1096.9898473588.

Adding to 1320103020 its reverse (203010231), we get a palindrome (1523113251).

The spelling of 1320103020 in words is "one billion, three hundred twenty million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 594641 1189282 1783923 2378564 2973205 3567846 5946410 7135692 8919615 11892820 17839230 22001717 35678460 44003434 66005151 88006868 110008585 132010302 220017170 264020604 330025755 440034340 660051510 1320103020