Search a number
-
+
105412113535 = 561557620491
BaseRepresentation
bin110001000101100001…
…1010011010001111111
3101002002100111012022011
41202023003103101333
53211341000113120
6120231535232051
710421132116111
oct1421303232177
9332070435264
10105412113535
1140783432103
121851a378627
139c2bb614a1
14515db5b3b1
152b1e448c5a
hex188b0d347f

105412113535 has 16 divisors (see below), whose sum is σ = 128799247392. Its totient is φ = 82798185600.

The previous prime is 105412113523. The next prime is 105412113557. The reversal of 105412113535 is 535311214501.

It is not a de Polignac number, because 105412113535 - 211 = 105412111487 is a prime.

It is a super-2 number, since 2×1054121135352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105412113497 and 105412113506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140361 + ... + 480130.

It is an arithmetic number, because the mean of its divisors is an integer number (8049952962).

Almost surely, 2105412113535 is an apocalyptic number.

105412113535 is a deficient number, since it is larger than the sum of its proper divisors (23387133857).

105412113535 is an equidigital number, since it uses as much as digits as its factorization.

105412113535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621114.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105412113535 in words is "one hundred five billion, four hundred twelve million, one hundred thirteen thousand, five hundred thirty-five".

Divisors: 1 5 61 305 557 2785 33977 169885 620491 3102455 37849951 189249755 345613487 1728067435 21082422707 105412113535