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100244440341 = 3261182594609
BaseRepresentation
bin101110101011100001…
…0001100010100010101
3100120202012121012100200
41131113002030110111
53120300034042331
6114015054131113
710146102453363
oct1352702142425
9316665535320
10100244440341
1139571411811
12175177b0a99
1395b73566b6
144bcd6d0633
15291a9215e6
hex175708c515

100244440341 has 12 divisors (see below), whose sum is σ = 147171255660. Its totient is φ = 65734058880.

The previous prime is 100244440339. The next prime is 100244440381. The reversal of 100244440341 is 143044442001.

100244440341 is a `hidden beast` number, since 10 + 0 + 244 + 4 + 403 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21858439716 + 78386000625 = 147846^2 + 279975^2 .

It is not a de Polignac number, because 100244440341 - 21 = 100244440339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244440301) 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 11 ways as a sum of consecutive naturals, for example, 91296756 + ... + 91297853.

It is an arithmetic number, because the mean of its divisors is an integer number (12264271305).

Almost surely, 2100244440341 is an apocalyptic number.

It is an amenable number.

100244440341 is a deficient number, since it is larger than the sum of its proper divisors (46926815319).

100244440341 is a wasteful number, since it uses less digits than its factorization.

100244440341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182594676 (or 182594673 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100244440341 its reverse (143044442001), we get a palindrome (243288882342).

It can be divided in two parts, 1002444 and 40341, that multiplied together give a palindrome (40439593404).

The spelling of 100244440341 in words is "one hundred billion, two hundred forty-four million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 61 183 549 182594609 547783827 1643351481 11138271149 33414813447 100244440341