Search a number
-
+
105411023541 = 341301370661
BaseRepresentation
bin110001000101011111…
…1001001001010110101
3101002002021102211010000
41202022333021022311
53211340210223131
6120231500021513
710421116626225
oct1421277111265
9332067384100
10105411023541
114078285818a
1218519b31899
139c2b86c315
14515d956085
152b1e2d0ce6
hex188afc92b5

105411023541 has 10 divisors (see below), whose sum is σ = 157465850102. Its totient is φ = 70274015640.

The previous prime is 105411023521. The next prime is 105411023567. The reversal of 105411023541 is 145320114501.

105411023541 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 110 + 2 + 3 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98269083441 + 7141940100 = 313479^2 + 84510^2 .

It is not a de Polignac number, because 105411023541 - 210 = 105411022517 is a prime.

It is a super-2 number, since 2×1054110235412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411023521) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 650685250 + ... + 650685411.

Almost surely, 2105411023541 is an apocalyptic number.

It is an amenable number.

105411023541 is a deficient number, since it is larger than the sum of its proper divisors (52054826561).

105411023541 is an equidigital number, since it uses as much as digits as its factorization.

105411023541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301370673 (or 1301370664 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 105411023541 in words is "one hundred five billion, four hundred eleven million, twenty-three thousand, five hundred forty-one".

Divisors: 1 3 9 27 81 1301370661 3904111983 11712335949 35137007847 105411023541