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1014103329 = 31779251701
BaseRepresentation
bin111100011100011…
…111110100100001
32121200012210020120
4330130133310201
54034102301304
6244343430453
734062510321
oct7434376441
92550183216
101014103329
11480486928
12243755429
13132137655
149897d281
155e06a0d9
hex3c71fd21

1014103329 has 16 divisors (see below), whose sum is σ = 1449803520. Its totient is φ = 628243200.

The previous prime is 1014103309. The next prime is 1014103333. The reversal of 1014103329 is 9233014101.

It is not a de Polignac number, because 1014103329 - 27 = 1014103201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014103299 and 1014103308.

It is not an unprimeable number, because it can be changed into a prime (1014103309) 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, 121822 + ... + 129879.

It is an arithmetic number, because the mean of its divisors is an integer number (90612720).

Almost surely, 21014103329 is an apocalyptic number.

It is an amenable number.

1014103329 is a deficient number, since it is larger than the sum of its proper divisors (435700191).

1014103329 is a wasteful number, since it uses less digits than its factorization.

1014103329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251800.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1014103329 is about 31844.9890720660. The cubic root of 1014103329 is about 1004.6791807841.

The spelling of 1014103329 in words is "one billion, fourteen million, one hundred three thousand, three hundred twenty-nine".

Divisors: 1 3 17 51 79 237 1343 4029 251701 755103 4278917 12836751 19884379 59653137 338034443 1014103329