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2014103301 = 372129110613
BaseRepresentation
bin111100000001100…
…1100011100000101
312012100220001022120
41320003030130011
513111102301201
6531505120153
7100624411200
oct17003143405
95170801276
102014103301
119439aa691
12482629059
13261374802
141516ca937
15bbc4b536
hex780cc705

2014103301 has 24 divisors (see below), whose sum is σ = 3126629664. Its totient is φ = 1149916320.

The previous prime is 2014103293. The next prime is 2014103309. The reversal of 2014103301 is 1033014102.

It is an interprime number because it is at equal distance from previous prime (2014103293) and next prime (2014103309).

It is not a de Polignac number, because 2014103301 - 23 = 2014103293 is a prime.

It is a super-2 number, since 2×20141033012 = 8113224214198193202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014103309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184471 + ... + 195083.

It is an arithmetic number, because the mean of its divisors is an integer number (130276236).

Almost surely, 22014103301 is an apocalyptic number.

2014103301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2014103301 is a deficient number, since it is larger than the sum of its proper divisors (1112526363).

2014103301 is a wasteful number, since it uses less digits than its factorization.

2014103301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2014103301 is about 44878.7622489747. The cubic root of 2014103301 is about 1262.8756234999.

Adding to 2014103301 its reverse (1033014102), we get a palindrome (3047117403).

The spelling of 2014103301 in words is "two billion, fourteen million, one hundred three thousand, three hundred one".

Divisors: 1 3 7 21 49 147 1291 3873 9037 10613 27111 31839 63259 74291 189777 222873 520037 1560111 13701383 41104149 95909681 287729043 671367767 2014103301