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2126322121 = 721115725127
BaseRepresentation
bin111111010111101…
…0001100111001001
312111012001100121011
41332233101213021
513323314301441
6550554243521
7103456303600
oct17657214711
95435040534
102126322121
119a1287310
124b41265a1
1327b6a5a91
1416257ca37
15c6a16581
hex7ebd19c9

2126322121 has 24 divisors (see below), whose sum is σ = 2715633216. Its totient is φ = 1646255520.

The previous prime is 2126322103. The next prime is 2126322131. The reversal of 2126322121 is 1212236212.

It is a happy number.

It is not a de Polignac number, because 2126322121 - 29 = 2126321609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2126322092 and 2126322101.

It is not an unprimeable number, because it can be changed into a prime (2126322131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72060 + ... + 97186.

It is an arithmetic number, because the mean of its divisors is an integer number (113151384).

Almost surely, 22126322121 is an apocalyptic number.

It is an amenable number.

2126322121 is a deficient number, since it is larger than the sum of its proper divisors (589311095).

2126322121 is a wasteful number, since it uses less digits than its factorization.

2126322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25309 (or 25302 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2126322121 is about 46112.0604722886. The cubic root of 2126322121 is about 1285.9073710620.

Adding to 2126322121 its reverse (1212236212), we get a palindrome (3338558333).

The spelling of 2126322121 in words is "two billion, one hundred twenty-six million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 157 539 1099 1727 7693 12089 25127 84623 175889 276397 1231223 1934779 3944939 13543453 27614573 43394329 193302011 303760303 2126322121