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2124212321 = 71127587173
BaseRepresentation
bin111111010011100…
…1110100001100001
312111001002011111102
41332213032201201
513322244243241
6550441124145
7103432335560
oct17647164141
95431064442
102124212321
119a0076180
124b3489655
1327b11768a
1416218dbd7
15c674b39b
hex7e9ce861

2124212321 has 8 divisors (see below), whose sum is σ = 2648368704. Its totient is φ = 1655230320.

The previous prime is 2124212309. The next prime is 2124212323. The reversal of 2124212321 is 1232124212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2124212321 is a prime.

It is a super-4 number, since 4×21242123214 (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2124212293 and 2124212302.

It is not an unprimeable number, because it can be changed into a prime (2124212323) 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 7 ways as a sum of consecutive naturals, for example, 13793510 + ... + 13793663.

It is an arithmetic number, because the mean of its divisors is an integer number (331046088).

Almost surely, 22124212321 is an apocalyptic number.

It is an amenable number.

2124212321 is a deficient number, since it is larger than the sum of its proper divisors (524156383).

2124212321 is a wasteful number, since it uses less digits than its factorization.

2124212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27587191.

The product of its digits is 384, while the sum is 20.

The square root of 2124212321 is about 46089.1779162961. The cubic root of 2124212321 is about 1285.4819251479.

Adding to 2124212321 its reverse (1232124212), we get a palindrome (3356336533).

The spelling of 2124212321 in words is "two billion, one hundred twenty-four million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 11 77 27587173 193110211 303458903 2124212321