Search a number
-
+
2133320211 = 3211313718787
BaseRepresentation
bin111111100100111…
…1110001000010011
312111200012220011200
41333021332020103
513332112221321
6551404242243
7103602631311
oct17711761023
95450186150
102133320211
119a5227060
124b6540383
1327cc86169
141634810b1
15c7449d26
hex7f27e213

2133320211 has 48 divisors (see below), whose sum is σ = 3564008448. Its totient is φ = 1217332800.

The previous prime is 2133320207. The next prime is 2133320213. The reversal of 2133320211 is 1120233312.

2133320211 is a `hidden beast` number, since 2 + 133 + 320 + 211 = 666.

It is not a de Polignac number, because 2133320211 - 22 = 2133320207 is a prime.

It is a super-2 number, since 2×21333202112 = 9102110245322169042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133320213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104160 + ... + 122946.

It is an arithmetic number, because the mean of its divisors is an integer number (74250176).

Almost surely, 22133320211 is an apocalyptic number.

2133320211 is a deficient number, since it is larger than the sum of its proper divisors (1430688237).

2133320211 is a wasteful number, since it uses less digits than its factorization.

2133320211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18872 (or 18869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2133320211 is about 46187.8794815263. The cubic root of 2133320211 is about 1287.3165399951.

Adding to 2133320211 its reverse (1120233312), we get a palindrome (3253553523).

The spelling of 2133320211 in words is "two billion, one hundred thirty-three million, three hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1147 1221 3069 3441 3663 10323 12617 18787 37851 56361 113553 169083 206657 582397 619971 695119 1747191 1859913 2085357 5241573 6256071 6406367 7646309 19219101 21548689 22938927 57657303 64646067 68816781 193938201 237035579 711106737 2133320211