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2129016125 = 5341272
BaseRepresentation
bin111111011100110…
…0011010100111101
312111101010020002002
41332321203110331
513330012004000
6551132112045
7103521224045
oct17671432475
95441106062
102129016125
119a2857365
124b5005625
1327c10a072
14162a80725
15c6d998d5
hex7ee6353d

2129016125 has 12 divisors (see below), whose sum is σ = 2657656092. Its totient is φ = 1702800200.

The previous prime is 2129016119. The next prime is 2129016133. The reversal of 2129016125 is 5216109212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 68128516 + 2060887609 = 8254^2 + 45397^2 .

It is not a de Polignac number, because 2129016125 - 218 = 2128753981 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513812 + ... + 517938.

It is an arithmetic number, because the mean of its divisors is an integer number (221471341).

Almost surely, 22129016125 is an apocalyptic number.

2129016125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2129016125 is a deficient number, since it is larger than the sum of its proper divisors (528639967).

2129016125 is an frugal number, since it uses more digits than its factorization.

2129016125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 2129016125 is about 46141.2627157082. The cubic root of 2129016125 is about 1286.4502141175.

The spelling of 2129016125 in words is "two billion, one hundred twenty-nine million, sixteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 4127 20635 103175 515875 17032129 85160645 425803225 2129016125