[go: up one dir, main page]

Search a number
-
+
2100421420 = 225105021071
BaseRepresentation
bin111110100110001…
…1110001100101100
312102101022110111221
41331030132030230
513300201441140
6544231153124
7103023200416
oct17514361454
95371273457
102100421420
119886a6779
124a75157a4
13276207916
1415cd599b6
15c45ec14a
hex7d31e32c

2100421420 has 12 divisors (see below), whose sum is σ = 4410885024. Its totient is φ = 840168560.

The previous prime is 2100421409. The next prime is 2100421459. The reversal of 2100421420 is 241240012.

2100421420 is nontrivially palindromic in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2100421394 and 2100421403.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52510516 + ... + 52510555.

It is an arithmetic number, because the mean of its divisors is an integer number (367573752).

Almost surely, 22100421420 is an apocalyptic number.

2100421420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100421420 is an abundant number, since it is smaller than the sum of its proper divisors (2310463604).

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

2100421420 is a wasteful number, since it uses less digits than its factorization.

2100421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105021080 (or 105021078 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2100421420 is about 45830.3547880660. The cubic root of 2100421420 is about 1280.6648198409.

Adding to 2100421420 its reverse (241240012), we get a palindrome (2341661432).

It can be divided in two parts, 21004 and 21420, that added together give a palindrome (42424).

The spelling of 2100421420 in words is "two billion, one hundred million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 105021071 210042142 420084284 525105355 1050210710 2100421420