Search a number
-
+
10305073242 = 232572504069
BaseRepresentation
bin10011001100011101…
…01111000001011010
3222121011210221221100
421212032233001122
5132101044320432
64422321252230
7513240451212
oct114616570132
928534727840
1010305073242
114408a44062
121bb7194076
13c82c73499
146da897242
15404a7007c
hex2663af05a

10305073242 has 12 divisors (see below), whose sum is σ = 22327658730. Its totient is φ = 3435024408.

The previous prime is 10305073199. The next prime is 10305073253. The reversal of 10305073242 is 24237050301.

10305073242 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6323589441 + 3981483801 = 79521^2 + 63099^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286252017 + ... + 286252052.

Almost surely, 210305073242 is an apocalyptic number.

10305073242 is an abundant number, since it is smaller than the sum of its proper divisors (12022585488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10305073242 is a wasteful number, since it uses less digits than its factorization.

10305073242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572504077 (or 572504074 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 10305073242 in words is "ten billion, three hundred five million, seventy-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 572504069 1145008138 1717512207 3435024414 5152536621 10305073242