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10005045501 = 3112919753069
BaseRepresentation
bin10010101000101100…
…01110000011111101
3221211021020222020210
421110112032003331
5130442242424001
64332442503033
7502635324603
oct112426160375
927737228223
1010005045501
114274650850
121b32804a79
13c35a65b89
146acab7873
153d8557dd6
hex25458e0fd

10005045501 has 32 divisors (see below), whose sum is σ = 15131318400. Its totient is φ = 5824743680.

The previous prime is 10005045487. The next prime is 10005045521. The reversal of 10005045501 is 10554050001.

10005045501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10005045501 - 210 = 10005044477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005045521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161995 + ... + 215063.

It is an arithmetic number, because the mean of its divisors is an integer number (472853700).

Almost surely, 210005045501 is an apocalyptic number.

10005045501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005045501 is a deficient number, since it is larger than the sum of its proper divisors (5126272899).

10005045501 is a wasteful number, since it uses less digits than its factorization.

10005045501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53309.

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 10005045501 its reverse (10554050001), we get a palindrome (20559095502).

The spelling of 10005045501 in words is "ten billion, five million, forty-five thousand, five hundred one".

Divisors: 1 3 11 29 33 87 197 319 591 957 2167 5713 6501 17139 53069 62843 159207 188529 583759 1539001 1751277 4617003 10454593 16929011 31363779 50787033 115000523 303183197 345001569 909549591 3335015167 10005045501