Search a number
-
+
10010014434113 = 3117910559170843
BaseRepresentation
bin1001000110101010001101…
…0110101100001101000001
31022102221121010011012211112
42101222203112230031001
52303001002143342423
633142312005053105
72052125326544231
oct221524326541501
938387533135745
1010010014434113
11320a250207651
1211580116b7195
13577c2bb2a895
142686b716bcc1
151255b4202a78
hex91aa35ac341

10010014434113 has 16 divisors (see below), whose sum is σ = 10391688806400. Its totient is φ = 9632024124240.

The previous prime is 10010014434097. The next prime is 10010014434193. The reversal of 10010014434113 is 31143441001001.

It is a cyclic number.

It is not a de Polignac number, because 10010014434113 - 24 = 10010014434097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010014434193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58506470 + ... + 58677312.

It is an arithmetic number, because the mean of its divisors is an integer number (649480550400).

Almost surely, 210010014434113 is an apocalyptic number.

It is an amenable number.

10010014434113 is a deficient number, since it is larger than the sum of its proper divisors (381674372287).

10010014434113 is a wasteful number, since it uses less digits than its factorization.

10010014434113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181612.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10010014434113 its reverse (31143441001001), we get a palindrome (41153455435114).

The spelling of 10010014434113 in words is "ten trillion, ten billion, fourteen million, four hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 31 179 5549 10559 170843 327329 1890061 5296133 30580897 58591891 948007807 1803931237 55921868347 322903691423 10010014434113