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2133133020 = 2232511850739
BaseRepresentation
bin111111100100101…
…0000011011011100
312111122212101101200
41333021100123130
513332040224040
6551400235500
7103601221464
oct17711203334
95448771350
102133133020
119a5109457
124b646bb90
1327cc1bbb5
14163432ba4
15c740e630
hex7f2506dc

2133133020 has 36 divisors (see below), whose sum is σ = 6470504040. Its totient is φ = 568835424.

The previous prime is 2133133003. The next prime is 2133133027. The reversal of 2133133020 is 203313312.

2133133020 is a `hidden beast` number, since 2 + 1 + 331 + 330 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133132984 and 2133133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133133027) 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 11 ways as a sum of consecutive naturals, for example, 5925190 + ... + 5925549.

Almost surely, 22133133020 is an apocalyptic number.

2133133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133133020 is an abundant number, since it is smaller than the sum of its proper divisors (4337371020).

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

2133133020 is a wasteful number, since it uses less digits than its factorization.

2133133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850754 (or 11850749 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2133133020 is about 46185.8530288226. The cubic root of 2133133020 is about 1287.2788864637.

Adding to 2133133020 its reverse (203313312), we get a palindrome (2336446332).

The spelling of 2133133020 in words is "two billion, one hundred thirty-three million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11850739 23701478 35552217 47402956 59253695 71104434 106656651 118507390 142208868 177761085 213313302 237014780 355522170 426626604 533283255 711044340 1066566510 2133133020