Search a number
-
+
21010728000041 = 1317259791199833
BaseRepresentation
bin1001100011011111100001…
…11110101001101000101001
32202101121100202111210120122
410301233300332221220221
510223214432332000131
6112404110054533025
74265655266202653
oct461576076515051
982347322453518
1021010728000041
11677066623116a
12243402a367175
13b953c30309a0
14528cd33ad6d3
1526680d35dd7b
hex131bf0fa9a29

21010728000041 has 48 divisors (see below), whose sum is σ = 24753055353600. Its totient is φ = 17717122455552.

The previous prime is 21010728000023. The next prime is 21010728000043. The reversal of 21010728000041 is 14000082701012.

It is not a de Polignac number, because 21010728000041 - 214 = 21010727983657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21010728000043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16911461 + ... + 18111293.

It is an arithmetic number, because the mean of its divisors is an integer number (515688653200).

Almost surely, 221010728000041 is an apocalyptic number.

It is an amenable number.

21010728000041 is a deficient number, since it is larger than the sum of its proper divisors (3742327353559).

21010728000041 is a wasteful number, since it uses less digits than its factorization.

21010728000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200018 (or 1200001 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 21010728000041 in words is "twenty-one trillion, ten billion, seven hundred twenty-eight million, forty-one", and thus it is an aban number.

Divisors: 1 13 17 59 79 221 289 767 1003 1027 1343 3757 4661 13039 17051 17459 22831 60593 79237 221663 296803 1030081 1199833 1347029 15597829 17511377 20397161 70790147 94786807 265163093 346751737 920271911 1203432499 1232228491 1611375719 4507772581 5592421613 15644622487 20458352483 20947884347 27393387223 72701480969 95071167421 265958582279 356114033899 1235925176473 1616209846157 21010728000041