Search a number
-
+
235203205005 = 3352960077447
BaseRepresentation
bin1101101100001100110…
…1000001011110001101
3211111002201022210022000
43123003031001132031
512323144010030010
6300014552542513
722664361153516
oct3330315013615
9744081283260
10235203205005
119082709415a
12397010b1a39
131924467cbb2
14b5535a5a0d
1561b8c937c0
hex36c334178d

235203205005 has 32 divisors (see below), whose sum is σ = 432557625600. Its totient is φ = 121116131136.

The previous prime is 235203204997. The next prime is 235203205037. The reversal of 235203205005 is 500502302532.

235203205005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 235203205005 - 23 = 235203204997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 235203205005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30034809 + ... + 30042638.

It is an arithmetic number, because the mean of its divisors is an integer number (13517425800).

Almost surely, 2235203205005 is an apocalyptic number.

It is an amenable number.

235203205005 is a deficient number, since it is larger than the sum of its proper divisors (197354420595).

235203205005 is a wasteful number, since it uses less digits than its factorization.

235203205005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60077490 (or 60077484 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 235203205005 its reverse (500502302532), we get a palindrome (735705507537).

The spelling of 235203205005 in words is "two hundred thirty-five billion, two hundred three million, two hundred five thousand, five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 3915 60077447 180232341 300387235 540697023 901161705 1622091069 1742245963 2703485115 5226737889 8110455345 8711229815 15680213667 26133689445 47040641001 78401068335 235203205005