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2130334420 = 2251011054621
BaseRepresentation
bin111111011111010…
…0101001011010100
312111110121012102211
41332332211023110
513330331200140
6551220243204
7103535354344
oct17676451324
95443535384
102130334420
119a3577865
124b5540504
1327c47c116
14162d04d24
15c705a2ea
hex7efa52d4

2130334420 has 24 divisors (see below), whose sum is σ = 4518000648. Its totient is φ = 843696000.

The previous prime is 2130334411. The next prime is 2130334439. The reversal of 2130334420 is 244330312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246427204 + 1883907216 = 15698^2 + 43404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2130334391 and 2130334400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 525291 + ... + 529330.

It is an arithmetic number, because the mean of its divisors is an integer number (188250027).

Almost surely, 22130334420 is an apocalyptic number.

2130334420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130334420 is an abundant number, since it is smaller than the sum of its proper divisors (2387666228).

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

2130334420 is a wasteful number, since it uses less digits than its factorization.

2130334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054731 (or 1054729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2130334420 is about 46155.5459289564. The cubic root of 2130334420 is about 1286.7156843106.

Adding to 2130334420 its reverse (244330312), we get a palindrome (2374664732).

The spelling of 2130334420 in words is "two billion, one hundred thirty million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1054621 2109242 4218484 5273105 10546210 21092420 106516721 213033442 426066884 532583605 1065167210 2130334420