Search a number
-
+
1130410242401 = 113717915516317
BaseRepresentation
bin10000011100110001101…
…100110111000101100001
311000001210020022010212212
4100130301230313011201
5122010040010224101
62223145302331505
7144445422344246
oct20346154670541
94001706263785
101130410242401
113a644a126230
121630b8129b95
138279c15994b
143c9d81c15cd
151e6106131bb
hex10731b37161

1130410242401 has 16 divisors (see below), whose sum is σ = 1273579381440. Its totient is φ = 994285529280.

The previous prime is 1130410242373. The next prime is 1130410242439. The reversal of 1130410242401 is 1042420140311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1130410242401 is a prime.

It is a super-3 number, since 3×11304102424013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1130410242001) 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, 7685306 + ... + 7831011.

It is an arithmetic number, because the mean of its divisors is an integer number (79598711340).

Almost surely, 21130410242401 is an apocalyptic number.

1130410242401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1130410242401 is a deficient number, since it is larger than the sum of its proper divisors (143169139039).

1130410242401 is a wasteful number, since it uses less digits than its factorization.

1130410242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516544.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1130410242401 its reverse (1042420140311), we get a palindrome (2172830382712).

The spelling of 1130410242401 in words is "one trillion, one hundred thirty billion, four hundred ten million, two hundred forty-two thousand, four hundred one".

Divisors: 1 11 37 179 407 1969 6623 72853 15516317 170679487 574103729 2777420743 6315141019 30551628173 102764567491 1130410242401