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10014126363 = 33379978611
BaseRepresentation
bin10010101001110001…
…10111000100011011
3221211220100022212000
421110320313010123
5131002104020423
64333405252043
7503105445453
oct112470670433
927756308760
1010014126363
11427979339a
121b35864023
13c378c5277
146add9cd63
153d924d843
hex254e3711b

10014126363 has 16 divisors (see below), whose sum is σ = 14874902400. Its totient is φ = 6658462440.

The previous prime is 10014126341. The next prime is 10014126383. The reversal of 10014126363 is 36362141001.

10014126363 is a `hidden beast` number, since 1 + 0 + 0 + 14 + 12 + 636 + 3 = 666.

10014126363 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 10014126363 - 29 = 10014125851 is a prime.

It is a super-3 number, since 3×100141263633 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10014126383) 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, 479073 + ... + 499538.

It is an arithmetic number, because the mean of its divisors is an integer number (929681400).

Almost surely, 210014126363 is an apocalyptic number.

10014126363 is a deficient number, since it is larger than the sum of its proper divisors (4860776037).

10014126363 is an equidigital number, since it uses as much as digits as its factorization.

10014126363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978999 (or 978993 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10014126363 its reverse (36362141001), we get a palindrome (46376267364).

The spelling of 10014126363 in words is "ten billion, fourteen million, one hundred twenty-six thousand, three hundred sixty-three".

Divisors: 1 3 9 27 379 1137 3411 10233 978611 2935833 8807499 26422497 370893569 1112680707 3338042121 10014126363