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10263734107 = 1123311308649
BaseRepresentation
bin10011000111100010…
…00010011101011011
3222111022000201022021
421203301002131123
5132010003442412
64414243235311
7512226205024
oct114361023533
928438021267
1010263734107
114397679390
121ba5378b37
13c7752b263
146d51b5c4b
15401106607
hex263c4275b

10263734107 has 16 divisors (see below), whose sum is σ = 12060518400. Its totient is φ = 8637076800.

The previous prime is 10263734077. The next prime is 10263734111. The reversal of 10263734107 is 70143736201.

10263734107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10263734107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10263734167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646482 + ... + 662167.

It is an arithmetic number, because the mean of its divisors is an integer number (753782400).

Almost surely, 210263734107 is an apocalyptic number.

10263734107 is a deficient number, since it is larger than the sum of its proper divisors (1796784293).

10263734107 is a wasteful number, since it uses less digits than its factorization.

10263734107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308714.

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 10263734107 in words is "ten billion, two hundred sixty-three million, seven hundred thirty-four thousand, one hundred seven".

Divisors: 1 11 23 31 253 341 713 7843 1308649 14395139 30098927 40568119 331088197 446249309 933066737 10263734107