Search a number
-
+
105061810241721 = 3611935250156659
BaseRepresentation
bin10111111000110110011011…
…111000010000000010111001
3111202222210220012022021020210
4113320312123320100002321
5102232313041410213341
61011240421311141333
731062315412243644
oct2770663370200271
9452883805267223
10105061810241721
1130526510a20133
12b949823814849
134681394a02028
141bd303962ca5b
15c22d73621c16
hex5f8d9be100b9

105061810241721 has 32 divisors (see below), whose sum is σ = 143121812851840. Its totient is φ = 68533516800000.

The previous prime is 105061810241683. The next prime is 105061810241761. The reversal of 105061810241721 is 127142018160501.

It is a happy number.

105061810241721 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 105061810241721 - 234 = 105044630372537 is a prime.

It is a super-2 number, since 2×1050618102417212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105061810241721.

It is not an unprimeable number, because it can be changed into a prime (105061810241761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854254490 + ... + 1854311148.

It is an arithmetic number, because the mean of its divisors is an integer number (4472556651620).

Almost surely, 2105061810241721 is an apocalyptic number.

It is an amenable number.

105061810241721 is a deficient number, since it is larger than the sum of its proper divisors (38060002610119).

105061810241721 is a wasteful number, since it uses less digits than its factorization.

105061810241721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109417.

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 105061810241721 in words is "one hundred five trillion, sixty-one billion, eight hundred ten million, two hundred forty-one thousand, seven hundred twenty-one".

Divisors: 1 3 61 183 193 579 11773 35319 52501 56659 157503 169977 3202561 3456199 9607683 10132693 10368597 10935187 30398079 32805561 618094273 667046407 1854282819 2001139221 2974654159 8923962477 181453903699 544361711097 574108252687 1722324758061 35020603413907 105061810241721