Search a number
-
+
10005031355 = 511414436821
BaseRepresentation
bin10010101000101100…
…01010100110111011
3221211021020020211212
421110112022212323
5130442242000410
64332442313335
7502635235424
oct112426124673
927737206755
1010005031355
114274641160
121b327b884b
13c35a5c5c7
146acab264b
153d8553b05
hex25458a9bb

10005031355 has 16 divisors (see below), whose sum is σ = 13416949728. Its totient is φ = 7098912000.

The previous prime is 10005031307. The next prime is 10005031397. The reversal of 10005031355 is 55313050001.

10005031355 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 10005031355 - 210 = 10005030331 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005031355.

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 15 ways as a sum of consecutive naturals, for example, 2216156 + ... + 2220665.

It is an arithmetic number, because the mean of its divisors is an integer number (838559358).

Almost surely, 210005031355 is an apocalyptic number.

10005031355 is a deficient number, since it is larger than the sum of its proper divisors (3411918373).

10005031355 is a wasteful number, since it uses less digits than its factorization.

10005031355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436878.

The product of its (nonzero) digits is 1125, while the sum is 23.

Adding to 10005031355 its reverse (55313050001), we get a palindrome (65318081356).

The spelling of 10005031355 in words is "ten billion, five million, thirty-one thousand, three hundred fifty-five".

Divisors: 1 5 11 41 55 205 451 2255 4436821 22184105 48805031 181909661 244025155 909548305 2001006271 10005031355