Search a number
-
+
203103102033 = 32137612281109
BaseRepresentation
bin1011110100100111100…
…0110110010001010001
3201102020121022121020100
42331021320312101101
511311423343231113
6233145420203013
720450040611466
oct2751170662121
9642217277210
10203103102033
1179154451737
1233442999469
13161ca192120
149b8a28566d
15543aad1d73
hex2f49e36451

203103102033 has 24 divisors (see below), whose sum is σ = 316353459240. Its totient is φ = 124822229760.

The previous prime is 203103102023. The next prime is 203103102067. The reversal of 203103102033 is 330201301302.

203103102033 is a `hidden beast` number, since 20 + 310 + 310 + 20 + 3 + 3 = 666.

203103102033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 700290369 + 202402811664 = 26463^2 + 449892^2 .

It is not a de Polignac number, because 203103102033 - 26 = 203103101969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203103101997 and 203103102015.

It is not an unprimeable number, because it can be changed into a prime (203103102023) 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 23 ways as a sum of consecutive naturals, for example, 1051518 + ... + 1229591.

It is an arithmetic number, because the mean of its divisors is an integer number (13181394135).

Almost surely, 2203103102033 is an apocalyptic number.

It is an amenable number.

203103102033 is a deficient number, since it is larger than the sum of its proper divisors (113250357207).

203103102033 is a wasteful number, since it uses less digits than its factorization.

203103102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281889 (or 2281886 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203103102033 its reverse (330201301302), we get a palindrome (533304403335).

The spelling of 203103102033 in words is "two hundred three billion, one hundred three million, one hundred two thousand, thirty-three".

Divisors: 1 3 9 13 39 117 761 2283 6849 9893 29679 89037 2281109 6843327 20529981 29654417 88963251 266889753 1735923949 5207771847 15623315541 22567011337 67701034011 203103102033