Search a number
-
+
2134135035 = 325173977027
BaseRepresentation
bin111111100110100…
…0101000011111011
312111201202021220100
41333031011003323
513332314310120
6551433530443
7103612564014
oct17715050373
95451667810
102134135035
119a573326a
124b6873a23
132801accc6
1416361400b
15c755b490
hex7f3450fb

2134135035 has 48 divisors (see below), whose sum is σ = 3927190176. Its totient is φ = 1068401664.

The previous prime is 2134135013. The next prime is 2134135049. The reversal of 2134135035 is 5305314312.

2134135035 is a `hidden beast` number, since 213 + 413 + 5 + 0 + 35 = 666.

It is not a de Polignac number, because 2134135035 - 216 = 2134069499 is a prime.

It is a super-2 number, since 2×21341350352 = 9109064695228902450, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 300192 + ... + 307218.

It is an arithmetic number, because the mean of its divisors is an integer number (81816462).

Almost surely, 22134135035 is an apocalyptic number.

2134135035 is a deficient number, since it is larger than the sum of its proper divisors (1793055141).

2134135035 is a wasteful number, since it uses less digits than its factorization.

2134135035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2134135035 is about 46196.6993950867. The cubic root of 2134135035 is about 1287.4804164552.

Adding to 2134135035 its reverse (5305314312), we get a palindrome (7439449347).

The spelling of 2134135035 in words is "two billion, one hundred thirty-four million, one hundred thirty-five thousand, thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 397 765 1191 1985 3573 5955 6749 7027 17865 20247 21081 33745 35135 60741 63243 101235 105405 119459 303705 316215 358377 597295 1075131 1791885 2789719 5375655 8369157 13948595 25107471 41845785 47425223 125537355 142275669 237126115 426827007 711378345 2134135035