Search a number
-
+
10010410041401 = 711193876705799
BaseRepresentation
bin1001000110101011101011…
…1011110100000000111001
31022102222121200120011000022
42101222322323310000321
52303002304432311101
633142415140220225
72052141202262240
oct221527273640071
938388550504008
1010010410041401
11320a433552220
12115810209a675
13577c92a91933
1426871390b957
151255d8ce9a1b
hex91abaef4039

10010410041401 has 16 divisors (see below), whose sum is σ = 12481156838400. Its totient is φ = 7799916001680.

The previous prime is 10010410041319. The next prime is 10010410041409. The reversal of 10010410041401 is 10414001401001.

10010410041401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010410041401 - 218 = 10010409779257 is a prime.

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 10010410041401.

It is not an unprimeable number, because it can be changed into a prime (10010410041409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860101 + ... + 4845698.

It is an arithmetic number, because the mean of its divisors is an integer number (780072302400).

Almost surely, 210010410041401 is an apocalyptic number.

10010410041401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010410041401 is a deficient number, since it is larger than the sum of its proper divisors (2470746796999).

10010410041401 is a wasteful number, since it uses less digits than its factorization.

10010410041401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725204.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10010410041401 its reverse (10414001401001), we get a palindrome (20424411442402).

The spelling of 10010410041401 in words is "ten trillion, ten billion, four hundred ten million, forty-one thousand, four hundred one".

Divisors: 1 7 11 77 19387 135709 213257 1492799 6705799 46940593 73763789 516346523 130005325213 910037276491 1430058577343 10010410041401