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2134102221 = 34732331549
BaseRepresentation
bin111111100110011…
…1101000011001101
312111201200121220000
41333030331003031
513332312232341
6551433114513
7103612366236
oct17714750315
95451617800
102134102221
119a5710649
124b6858a39
1328019b0a4
1416360608d
15c75518b6
hex7f33d0cd

2134102221 has 40 divisors (see below), whose sum is σ = 3247615800. Its totient is φ = 1396320768.

The previous prime is 2134102213. The next prime is 2134102241. The reversal of 2134102221 is 1222014312.

It is a happy number.

2134102221 is a `hidden beast` number, since 213 + 410 + 22 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72488196 + 2061614025 = 8514^2 + 45405^2 .

It is not a de Polignac number, because 2134102221 - 23 = 2134102213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2134102194 and 2134102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134102241) 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 39 ways as a sum of consecutive naturals, for example, 1376955 + ... + 1378503.

It is an arithmetic number, because the mean of its divisors is an integer number (81190395).

Almost surely, 22134102221 is an apocalyptic number.

It is an amenable number.

2134102221 is a deficient number, since it is larger than the sum of its proper divisors (1113513579).

2134102221 is a wasteful number, since it uses less digits than its factorization.

2134102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1858 counting only the distinct ones).

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

The square root of 2134102221 is about 46196.3442384784. The cubic root of 2134102221 is about 1287.4738177476.

Adding to 2134102221 its reverse (1222014312), we get a palindrome (3356116533).

The spelling of 2134102221 in words is "two billion, one hundred thirty-four million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 73 81 219 233 657 699 1549 1971 2097 4647 5913 6291 13941 17009 18873 41823 51027 113077 125469 153081 339231 360917 459243 1017693 1082751 1377729 3053079 3248253 9159237 9744759 26346941 29234277 79040823 237122469 711367407 2134102221