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1012241414401 = 72163448128283
BaseRepresentation
bin11101011101011100100…
…10100011100100000001
310120202202211210201010121
432232232102203210001
5113041032300230101
62053003422300241
7133063200025600
oct16565622434401
93522684721117
101012241414401
1136031a9867a8
12144219727681
13745b9457c09
1436dc8147a37
151b4e62c20a1
hexebae4a3901

1012241414401 has 24 divisors (see below), whose sum is σ = 1185035565024. Its totient is φ = 862089661440.

The previous prime is 1012241414267. The next prime is 1012241414407. The reversal of 1012241414401 is 1044141422101.

It is not a de Polignac number, because 1012241414401 - 217 = 1012241283329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012241414407) 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 23 ways as a sum of consecutive naturals, for example, 35775606 + ... + 35803888.

It is an arithmetic number, because the mean of its divisors is an integer number (49376481876).

Almost surely, 21012241414401 is an apocalyptic number.

It is an amenable number.

1012241414401 is a deficient number, since it is larger than the sum of its proper divisors (172794150623).

1012241414401 is a wasteful number, since it uses less digits than its factorization.

1012241414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32941 (or 32934 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1012241414401 its reverse (1044141422101), we get a palindrome (2056382836502).

The spelling of 1012241414401 in words is "one trillion, twelve billion, two hundred forty-one million, four hundred fourteen thousand, four hundred one".

Divisors: 1 7 49 163 1141 4481 7987 28283 31367 197981 219569 730403 1385867 4610129 5112821 32270903 35789747 126736123 225896321 887152861 6210070027 20657988049 144605916343 1012241414401