Search a number
-
+
10061005105 = 55379480583
BaseRepresentation
bin10010101111010111…
…01100000100110001
3221222011120000101201
421113223230010301
5131101104130410
64342202131201
7504215063254
oct112753540461
927864500351
1010061005105
1142a31a2058
121b494b0b01
13c44529a78
146b62c309b
153dd40d83a
hex257aec131

10061005105 has 16 divisors (see below), whose sum is σ = 12456737280. Its totient is φ = 7796962368.

The previous prime is 10061005103. The next prime is 10061005111. The reversal of 10061005105 is 50150016001.

10061005105 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10061005105 - 21 = 10061005103 is a prime.

It is a super-2 number, since 2×100610051052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10061005103) 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, 219357 + ... + 261226.

It is an arithmetic number, because the mean of its divisors is an integer number (778546080).

Almost surely, 210061005105 is an apocalyptic number.

It is an amenable number.

10061005105 is a deficient number, since it is larger than the sum of its proper divisors (2395732175).

10061005105 is an equidigital number, since it uses as much as digits as its factorization.

10061005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480720.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10061005105 in words is "ten billion, sixty-one million, five thousand, one hundred five".

Divisors: 1 5 53 79 265 395 4187 20935 480583 2402915 25470899 37966057 127354495 189830285 2012201021 10061005105