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2129120231 = 72979132763
BaseRepresentation
bin111111011100111…
…1100101111100111
312111101022111212212
41332321330233213
513330023321411
6551134234035
7103522136420
oct17671745747
95441274785
102129120231
119a29185a7
124b505591b
1327c145574
14162aaa647
15c6dba68b
hex7ee7cbe7

2129120231 has 16 divisors (see below), whose sum is σ = 2549068800. Its totient is φ = 1739713248.

The previous prime is 2129120209. The next prime is 2129120243. The reversal of 2129120231 is 1320219212.

It is a happy number.

It is not a de Polignac number, because 2129120231 - 26 = 2129120167 is a prime.

It is a super-2 number, since 2×21291202312 = 9066305916106986722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2129120197 and 2129120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50345 + ... + 82418.

It is an arithmetic number, because the mean of its divisors is an integer number (159316800).

Almost surely, 22129120231 is an apocalyptic number.

2129120231 is a deficient number, since it is larger than the sum of its proper divisors (419948569).

2129120231 is a wasteful number, since it uses less digits than its factorization.

2129120231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132878.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2129120231 is about 46142.3908244902. The cubic root of 2129120231 is about 1286.4711823325.

Adding to 2129120231 its reverse (1320219212), we get a palindrome (3449339443).

The spelling of 2129120231 in words is "two billion, one hundred twenty-nine million, one hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 29 79 203 553 2291 16037 132763 929341 3850127 10488277 26950889 73417939 304160033 2129120231