Search a number
-
+
10155041017 = 111979615047
BaseRepresentation
bin10010111010100100…
…11010000011111001
3222012201111112102021
421131102122003321
5131244142303032
64355401434441
7506436265402
oct113522320371
928181445367
1010155041017
11434128a690
121b74a9ba21
13c5ab62a14
146c49a09a9
153e67d6097
hex25d49a0f9

10155041017 has 16 divisors (see below), whose sum is σ = 11808921600. Its totient is φ = 8635245840.

The previous prime is 10155041009. The next prime is 10155041027. The reversal of 10155041017 is 71014055101.

10155041017 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 10155041017 - 23 = 10155041009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10155040982 and 10155041000.

It is not an unprimeable number, because it can be changed into a prime (10155041027) 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 15 ways as a sum of consecutive naturals, for example, 291013 + ... + 324034.

It is an arithmetic number, because the mean of its divisors is an integer number (738057600).

Almost surely, 210155041017 is an apocalyptic number.

It is an amenable number.

10155041017 is a deficient number, since it is larger than the sum of its proper divisors (1653880583).

10155041017 is a wasteful number, since it uses less digits than its factorization.

10155041017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615156.

The product of its (nonzero) digits is 700, while the sum is 25.

Adding to 10155041017 its reverse (71014055101), we get a palindrome (81169096118).

The spelling of 10155041017 in words is "ten billion, one hundred fifty-five million, forty-one thousand, seventeen".

Divisors: 1 11 19 79 209 869 1501 16511 615047 6765517 11685893 48588713 128544823 534475843 923185547 10155041017