Search a number
-
+
2033131300 = 225220331313
BaseRepresentation
bin111100100101111…
…0001111100100100
312020200200202211021
41321023301330210
513130440200200
6533425020524
7101245221334
oct17113617444
95220622737
102033131300
11953716702
12488a84744
132652a7695
141540410c4
15bd75941a
hex792f1f24

2033131300 has 18 divisors (see below), whose sum is σ = 4411895138. Its totient is φ = 813252480.

The previous prime is 2033131283. The next prime is 2033131319. The reversal of 2033131300 is 31313302.

It can be written as a sum of positive squares in 3 ways, for example, as 18198756 + 2014932544 = 4266^2 + 44888^2 .

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 5 ways as a sum of consecutive naturals, for example, 10165557 + ... + 10165756.

Almost surely, 22033131300 is an apocalyptic number.

2033131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033131300 is an abundant number, since it is smaller than the sum of its proper divisors (2378763838).

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

2033131300 is a wasteful number, since it uses less digits than its factorization.

2033131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20331327 (or 20331320 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2033131300 is about 45090.2572625174. The cubic root of 2033131300 is about 1266.8401201372.

Adding to 2033131300 its reverse (31313302), we get a palindrome (2064444602).

The spelling of 2033131300 in words is "two billion, thirty-three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20331313 40662626 81325252 101656565 203313130 406626260 508282825 1016565650 2033131300