Search a number
-
+
10305503505 = 335116939733
BaseRepresentation
bin10011001100100000…
…11000000100010001
3222121012121211011000
421212100120010101
5132101202103010
64422334412213
7513244222503
oct114620300421
928535554130
1010305503505
114409208350
121bb7361069
13c8309428b
146da969d73
15404b077c0
hex266418111

10305503505 has 32 divisors (see below), whose sum is σ = 19986433920. Its totient is φ = 4996607040.

The previous prime is 10305503501. The next prime is 10305503543. The reversal of 10305503505 is 50530550301.

10305503505 is a `hidden beast` number, since 1 + 0 + 305 + 5 + 0 + 350 + 5 = 666.

It is not a de Polignac number, because 10305503505 - 22 = 10305503501 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10305503501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3468382 + ... + 3471351.

It is an arithmetic number, because the mean of its divisors is an integer number (624576060).

Almost surely, 210305503505 is an apocalyptic number.

10305503505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10305503505 is a deficient number, since it is larger than the sum of its proper divisors (9680930415).

10305503505 is a wasteful number, since it uses less digits than its factorization.

10305503505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939758 (or 6939752 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The spelling of 10305503505 in words is "ten billion, three hundred five million, five hundred three thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 6939733 20819199 34698665 62457597 76337063 104095995 187372791 229011189 312287985 381685315 687033567 936863955 1145055945 2061100701 3435167835 10305503505