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2134211121 = 327283199293
BaseRepresentation
bin111111100110101…
…0111101000110001
312111201220011021100
41333031113220301
513332324223441
6551435315013
7103613331600
oct17715275061
95451804240
102134211121
119a5785449
124b68aba69
13280208823
14163633a37
15c7573cb6
hex7f357a31

2134211121 has 72 divisors (see below), whose sum is σ = 3659947200. Its totient is φ = 1194709824.

The previous prime is 2134211117. The next prime is 2134211129. The reversal of 2134211121 is 1211124312.

2134211121 is a `hidden beast` number, since 213 + 421 + 11 + 21 = 666.

It is not a de Polignac number, because 2134211121 - 22 = 2134211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2134211094 and 2134211103.

It is not an unprimeable number, because it can be changed into a prime (2134211129) 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 71 ways as a sum of consecutive naturals, for example, 7283851 + ... + 7284143.

It is an arithmetic number, because the mean of its divisors is an integer number (50832600).

Almost surely, 22134211121 is an apocalyptic number.

2134211121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2134211121 is a deficient number, since it is larger than the sum of its proper divisors (1525736079).

2134211121 is a wasteful number, since it uses less digits than its factorization.

2134211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2134211121 is about 46197.5228881376. The cubic root of 2134211121 is about 1287.4957166540.

Adding to 2134211121 its reverse (1211124312), we get a palindrome (3345335433).

The spelling of 2134211121 in words is "two billion, one hundred thirty-four million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 83 147 199 249 293 441 581 597 747 879 1393 1743 1791 2051 2637 4067 4179 5229 6153 9751 12201 12537 14357 16517 18459 24319 29253 36603 43071 49551 58307 72957 87759 115619 129213 148653 170233 174921 218871 346857 408149 510699 524763 809333 1040571 1191631 1224447 1532097 2427999 2857043 3574893 3673341 4839481 7283997 8571129 10724679 14518443 25713387 33876367 43555329 101629101 237134569 304887303 711403707 2134211121