Search a number
-
+
110830910544 = 24322926539969
BaseRepresentation
bin110011100111000001…
…0010111110001010000
3101121001222220121100200
41213032002113301100
53303440203114134
6122525351015200
711002331124114
oct1471602276120
9347058817320
10110830910544
1143004183542
121959106a500
13a5b36b3353
1455156b7744
152d3a028499
hex19ce097c50

110830910544 has 60 divisors (see below), whose sum is σ = 320868237300. Its totient is φ = 35669716992.

The previous prime is 110830910461. The next prime is 110830910557. The reversal of 110830910544 is 445019038011.

110830910544 is a `hidden beast` number, since 1 + 108 + 3 + 0 + 9 + 1 + 0 + 544 = 666.

110830910544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28913601600 + 81917308944 = 170040^2 + 286212^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110830910499 and 110830910508.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13265809 + ... + 13274160.

It is an arithmetic number, because the mean of its divisors is an integer number (5347803955).

Almost surely, 2110830910544 is an apocalyptic number.

It is an amenable number.

110830910544 is an abundant number, since it is smaller than the sum of its proper divisors (210037326756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110830910544 is a wasteful number, since it uses less digits than its factorization.

110830910544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26540012 (or 26540003 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 110830910544 its reverse (445019038011), we get a palindrome (555849948555).

The spelling of 110830910544 in words is "one hundred ten billion, eight hundred thirty million, nine hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 26539969 53079938 79619907 106159876 159239814 212319752 238859721 318479628 424639504 477719442 636959256 769659101 955438884 1273918512 1539318202 1910877768 2308977303 3078636404 3821755536 4617954606 6157272808 6926931909 9235909212 12314545616 13853863818 18471818424 27707727636 36943636848 55415455272 110830910544