Search a number
-
+
2132204121 = 332312492749
BaseRepresentation
bin111111100010110…
…1101101001011001
312111121010012012000
41333011231221121
513331321012441
6551324311213
7103560302355
oct17705555131
95447105160
102132204121
119a4634573
124b60a2509
1327c985158
14163270465
15c72c92b6
hex7f16da59

2132204121 has 32 divisors (see below), whose sum is σ = 3300000000. Its totient is φ = 1358083584.

The previous prime is 2132204101. The next prime is 2132204131. The reversal of 2132204121 is 1214022312.

It is a happy number.

It is not a de Polignac number, because 2132204121 - 214 = 2132187737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132204094 and 2132204103.

It is not an unprimeable number, because it can be changed into a prime (2132204101) 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 31 ways as a sum of consecutive naturals, for example, 774255 + ... + 777003.

It is an arithmetic number, because the mean of its divisors is an integer number (103125000).

Almost surely, 22132204121 is an apocalyptic number.

It is an amenable number.

2132204121 is a deficient number, since it is larger than the sum of its proper divisors (1167795879).

2132204121 is a wasteful number, since it uses less digits than its factorization.

2132204121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2132204121 is about 46175.7958350476. The cubic root of 2132204121 is about 1287.0920055285.

Adding to 2132204121 its reverse (1214022312), we get a palindrome (3346226433).

The spelling of 2132204121 in words is "two billion, one hundred thirty-two million, two hundred four thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 69 207 621 1249 2749 3747 8247 11241 24741 28727 33723 63227 74223 86181 189681 258543 569043 775629 1707129 3433501 10300503 30901509 78970523 92704527 236911569 710734707 2132204121