Search a number
-
+
2121000220 = 225106050011
BaseRepresentation
bin111111001101011…
…1110010100011100
312110211000222022201
41332122332110130
513320434001340
6550244221244
7103363130053
oct17632762434
95424028281
102121000220
11999281949
124b239a824
1327a561621
1416199539a
15c631479a
hex7e6be51c

2121000220 has 12 divisors (see below), whose sum is σ = 4454100504. Its totient is φ = 848400080.

The previous prime is 2121000197. The next prime is 2121000227. The reversal of 2121000220 is 220001212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2121000197 and 2121000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000227) 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 3 ways as a sum of consecutive naturals, for example, 53024986 + ... + 53025025.

It is an arithmetic number, because the mean of its divisors is an integer number (371175042).

Almost surely, 22121000220 is an apocalyptic number.

2121000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000220 is an abundant number, since it is smaller than the sum of its proper divisors (2333100284).

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

2121000220 is a wasteful number, since it uses less digits than its factorization.

2121000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106050020 (or 106050018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2121000220 is about 46054.3181471618. The cubic root of 2121000220 is about 1284.8336564946.

Adding to 2121000220 its reverse (220001212), we get a palindrome (2341001432).

The spelling of 2121000220 in words is "two billion, one hundred twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 106050011 212100022 424200044 530250055 1060500110 2121000220