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2000131320 = 2335111515251
BaseRepresentation
bin111011100110111…
…1001010011111000
312011101121012100210
41313031321103320
513044013200240
6530245431120
7100364556435
oct16715712370
95141535323
102000131320
119370272a0
12479a0b4a0
1325b4c2075
1414d8d0b8c
15ba8db780
hex773794f8

2000131320 has 64 divisors (see below), whose sum is σ = 6545888640. Its totient is φ = 484880000.

The previous prime is 2000131303. The next prime is 2000131321. The reversal of 2000131320 is 231310002.

It is a happy number.

2000131320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 2000131296 and 2000131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756306 + ... + 758945.

It is an arithmetic number, because the mean of its divisors is an integer number (102279510).

Almost surely, 22000131320 is an apocalyptic number.

2000131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000131320 is an abundant number, since it is smaller than the sum of its proper divisors (4545757320).

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

2000131320 is a wasteful number, since it uses less digits than its factorization.

2000131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515276 (or 1515272 counting only the distinct ones).

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

The square root of 2000131320 is about 44722.8277281301. The cubic root of 2000131320 is about 1259.9486247634.

Adding to 2000131320 its reverse (231310002), we get a palindrome (2231441322).

The spelling of 2000131320 in words is "two billion, one hundred thirty-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 1515251 3030502 4545753 6061004 7576255 9091506 12122008 15152510 16667761 18183012 22728765 30305020 33335522 36366024 45457530 50003283 60610040 66671044 83338805 90915060 100006566 133342088 166677610 181830120 200013132 250016415 333355220 400026264 500032830 666710440 1000065660 2000131320