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2141420420 = 225107071021
BaseRepresentation
bin111111110100011…
…0111101110000100
312112020110102120102
41333220313232010
513341200423140
6552254023232
7104031526136
oct17750675604
95466412512
102141420420
119a9859947
124b91a7b18
13281861099
1416458d056
15c7ee9e15
hex7fa37b84

2141420420 has 12 divisors (see below), whose sum is σ = 4496982924. Its totient is φ = 856568160.

The previous prime is 2141420389. The next prime is 2141420423. The reversal of 2141420420 is 240241412.

It can be written as a sum of positive squares in 2 ways, for example, as 1006539076 + 1134881344 = 31726^2 + 33688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 107071021 = 2141420420 / (2 + 1 + 4 + 1 + 4 + 2 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2141420392 and 2141420401.

It is not an unprimeable number, because it can be changed into a prime (2141420423) 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, 53535491 + ... + 53535530.

It is an arithmetic number, because the mean of its divisors is an integer number (374748577).

Almost surely, 22141420420 is an apocalyptic number.

2141420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141420420 is an abundant number, since it is smaller than the sum of its proper divisors (2355562504).

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

2141420420 is a wasteful number, since it uses less digits than its factorization.

2141420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107071030 (or 107071028 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2141420420 is about 46275.4840061128. The cubic root of 2141420420 is about 1288.9437942271.

Adding to 2141420420 its reverse (240241412), we get a palindrome (2381661832).

The spelling of 2141420420 in words is "two billion, one hundred forty-one million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107071021 214142042 428284084 535355105 1070710210 2141420420