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2124321420 = 2235137189431
BaseRepresentation
bin111111010011110…
…1001001010001100
312111001021201011010
41332213221022030
513322311241140
6550443325220
7103433301624
oct17647511214
95431251133
102124321420
119a0140141
124b3520810
1327b155230
141621bb884
15c676d880
hex7e9e928c

2124321420 has 192 divisors, whose sum is σ = 6584094720. Its totient is φ = 508569600.

The previous prime is 2124321413. The next prime is 2124321421. The reversal of 2124321420 is 241234212.

It is not an unprimeable number, because it can be changed into a prime (2124321421) 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 63 ways as a sum of consecutive naturals, for example, 4928605 + ... + 4929035.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 22124321420 is an apocalyptic number.

2124321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292047360).

2124321420 is an abundant number, since it is smaller than the sum of its proper divisors (4459773300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2124321420 is a wasteful number, since it uses less digits than its factorization.

2124321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2124321420 is about 46090.3614652782. The cubic root of 2124321420 is about 1285.5039321118.

Adding to 2124321420 its reverse (241234212), we get a palindrome (2365555632).

The spelling of 2124321420 in words is "two billion, one hundred twenty-four million, three hundred twenty-one thousand, four hundred twenty".