Search a number
-
+
2141885083 = 134359101643
BaseRepresentation
bin111111110101010…
…1001001010011011
312112021100000222011
41333222221022123
513341310310313
6552312010351
7104035502632
oct17752511233
95467300864
102141885083
119aa046a68
124b93909b7
13281994730
14164670519
15c808c93d
hex7faa929b

2141885083 has 32 divisors (see below), whose sum is σ = 2427828480. Its totient is φ = 1876694400.

The previous prime is 2141885071. The next prime is 2141885107. The reversal of 2141885083 is 3805881412.

It is a cyclic number.

It is not a de Polignac number, because 2141885083 - 229 = 1605014171 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141885023) 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, 3330760 + ... + 3331402.

It is an arithmetic number, because the mean of its divisors is an integer number (75869640).

Almost surely, 22141885083 is an apocalyptic number.

2141885083 is a deficient number, since it is larger than the sum of its proper divisors (285943397).

2141885083 is a wasteful number, since it uses less digits than its factorization.

2141885083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 2141885083 is about 46280.5043511844. The cubic root of 2141885083 is about 1289.0370160236.

The spelling of 2141885083 in words is "two billion, one hundred forty-one million, eight hundred eighty-five thousand, eighty-three".

Divisors: 1 13 43 59 101 559 643 767 1313 2537 4343 5959 8359 27649 32981 37937 56459 64943 77467 256237 359437 493181 844259 1631291 2792549 3331081 3831637 21206783 36303137 49811281 164760391 2141885083