Search a number
-
+
105411206603325 = 3527238729706551
BaseRepresentation
bin10111111101111011110101…
…100001100110001000111101
3111211020012202020012110102010
4113331323311201212020331
5102304024122342301300
61012105123443521433
731126464652310340
oct2775736541461075
9454205666173363
10105411206603325
1130650707076a77
12b9a5493989279
1346a83074cc96c
141c05d02c4c457
15c2bec2689a50
hex5fdef586623d

105411206603325 has 48 divisors (see below), whose sum is σ = 207836853590016. Its totient is φ = 46092850584000.

The previous prime is 105411206603237. The next prime is 105411206603441. The reversal of 105411206603325 is 523306602114501.

It is a happy number.

It is not a de Polignac number, because 105411206603325 - 219 = 105411206079037 is a prime.

It is a super-2 number, since 2×1054112066033252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4364841201 + ... + 4364865350.

It is an arithmetic number, because the mean of its divisors is an integer number (4329934449792).

Almost surely, 2105411206603325 is an apocalyptic number.

105411206603325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105411206603325 is a deficient number, since it is larger than the sum of its proper divisors (102425646986691).

105411206603325 is a wasteful number, since it uses less digits than its factorization.

105411206603325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729706594 (or 8729706589 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 105411206603325 its reverse (523306602114501), we get a palindrome (628717808717826).

The spelling of 105411206603325 in words is "one hundred five trillion, four hundred eleven billion, two hundred six million, six hundred three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1725 2415 4025 12075 8729706551 26189119653 43648532755 61107945857 130945598265 183323837571 200783250673 218242663775 305539729285 602349752019 654727991325 916619187855 1003916253365 1405482754711 1527698646425 3011748760095 4216448264133 4583095939275 5019581266825 7027413773555 15058743800475 21082241320665 35137068867775 105411206603325