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2141013129 = 34335347017
BaseRepresentation
bin111111110011101…
…0100010010001001
312112012200201212120
41333213110102021
513341044410004
6552241201453
7104025211533
oct17747242211
95465621776
102141013129
119a9600942
124b9030289
1328174a898
141644c4853
15c7e693d9
hex7f9d4489

2141013129 has 16 divisors (see below), whose sum is σ = 2929409472. Its totient is φ = 1390169088.

The previous prime is 2141013059. The next prime is 2141013143. The reversal of 2141013129 is 9213101412.

It is not a de Polignac number, because 2141013129 - 28 = 2141012873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2141013099 and 2141013108.

It is not an unprimeable number, because it can be changed into a prime (2141013169) 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, 22029 + ... + 69045.

It is an arithmetic number, because the mean of its divisors is an integer number (183088092).

Almost surely, 22141013129 is an apocalyptic number.

It is an amenable number.

2141013129 is a deficient number, since it is larger than the sum of its proper divisors (788396343).

2141013129 is a wasteful number, since it uses less digits than its factorization.

2141013129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47416.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2141013129 is about 46271.0830757180. The cubic root of 2141013129 is about 1288.8620714465.

The spelling of 2141013129 in words is "two billion, one hundred forty-one million, thirteen thousand, one hundred twenty-nine".

Divisors: 1 3 43 129 353 1059 15179 45537 47017 141051 2021731 6065193 16597001 49791003 713671043 2141013129