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10012144431323 = 103523203991153
BaseRepresentation
bin1001000110110010001001…
…0011111111000011011011
31022110011002120010021201002
42101230202103333003123
52303014332433300243
633143303214215215
72052232162325516
oct221544223770333
938404076107632
1010012144431323
113210143574021
121158506ab450b
135781ab1bc368
14268839dc5d7d
1512568b1e2eb8
hex91b224ff0db

10012144431323 has 16 divisors (see below), whose sum is σ = 10133757903360. Its totient is φ = 9891019465344.

The previous prime is 10012144431313. The next prime is 10012144431427. The reversal of 10012144431323 is 32313444121001.

It is a cyclic number.

It is not a de Polignac number, because 10012144431323 - 228 = 10011875995867 is a prime.

It is a super-2 number, since 2×100121444313232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012144431313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109793315 + ... + 109884467.

It is an arithmetic number, because the mean of its divisors is an integer number (633359868960).

Almost surely, 210012144431323 is an apocalyptic number.

10012144431323 is a deficient number, since it is larger than the sum of its proper divisors (121613472037).

10012144431323 is a wasteful number, since it uses less digits than its factorization.

10012144431323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93818.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10012144431323 its reverse (32313444121001), we get a palindrome (42325588552324).

The spelling of 10012144431323 in words is "ten trillion, twelve billion, one hundred forty-four million, four hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 103 523 2039 53869 91153 210017 1066397 9388759 47673019 109838891 185860967 4910320957 19143679601 97205285741 10012144431323