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2134213101 = 32389609601
BaseRepresentation
bin111111100110101…
…1000000111101101
312111201220020222200
41333031120013231
513332324304401
6551435332113
7103613340426
oct17715300755
95451806880
102134213101
119a5786989
124b68b1039
132802096b7
1416363464d
15c7574686
hex7f3581ed

2134213101 has 12 divisors (see below), whose sum is σ = 3090682140. Its totient is φ = 1419148800.

The previous prime is 2134213049. The next prime is 2134213117. The reversal of 2134213101 is 1013124312.

2134213101 is a `hidden beast` number, since 213 + 421 + 31 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 916272900 + 1217940201 = 30270^2 + 34899^2 .

It is not a de Polignac number, because 2134213101 - 218 = 2133950957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134213121) 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 11 ways as a sum of consecutive naturals, for example, 301300 + ... + 308301.

It is an arithmetic number, because the mean of its divisors is an integer number (257556845).

Almost surely, 22134213101 is an apocalyptic number.

It is an amenable number.

2134213101 is a deficient number, since it is larger than the sum of its proper divisors (956469039).

2134213101 is a wasteful number, since it uses less digits than its factorization.

2134213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609996 (or 609993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2134213101 is about 46197.5443178531. The cubic root of 2134213101 is about 1287.4961148090.

Adding to 2134213101 its reverse (1013124312), we get a palindrome (3147337413).

It can be divided in two parts, 21342 and 13101, that added together give a palindrome (34443).

The spelling of 2134213101 in words is "two billion, one hundred thirty-four million, two hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 389 1167 3501 609601 1828803 5486409 237134789 711404367 2134213101