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1312002020 = 225768313721
BaseRepresentation
bin100111000110011…
…1000111111100100
310101102202121102102
41032030320333210
510141333031040
6334104431232
744340555530
oct11614707744
93342677372
101312002020
1161365559a
12307478518
1317ba7ab74
14c6366bc0
157a2b1515
hex4e338fe4

1312002020 has 48 divisors (see below), whose sum is σ = 3153644928. Its totient is φ = 449137920.

The previous prime is 1312002017. The next prime is 1312002049. The reversal of 1312002020 is 202002131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1312001992 and 1312002010.

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, 88760 + ... + 102480.

It is an arithmetic number, because the mean of its divisors is an integer number (65700936).

Almost surely, 21312002020 is an apocalyptic number.

1312002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312002020 is an abundant number, since it is smaller than the sum of its proper divisors (1841642908).

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

1312002020 is a wasteful number, since it uses less digits than its factorization.

1312002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1312002020 is about 36221.5684364993. The cubic root of 1312002020 is about 1094.7412967928.

Adding to 1312002020 its reverse (202002131), we get a palindrome (1514004151).

The spelling of 1312002020 in words is "one billion, three hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 683 1366 2732 3415 4781 6830 9562 13660 13721 19124 23905 27442 47810 54884 68605 95620 96047 137210 192094 274420 384188 480235 960470 1920940 9371443 18742886 37485772 46857215 65600101 93714430 131200202 187428860 262400404 328000505 656001010 1312002020