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2142020213 = 17257490277
BaseRepresentation
bin111111110101100…
…1010001001110101
312112021120220022222
41333223022021311
513341324121323
6552314532125
7104036604614
oct17753121165
95467526288
102142020213
119aa129543
124b9437045
13281a110a8
141646a787b
15c80b79c8
hex7faca275

2142020213 has 8 divisors (see below), whose sum is σ = 2276851032. Its totient is φ = 2008170496.

The previous prime is 2142020207. The next prime is 2142020263. The reversal of 2142020213 is 3120202412.

It can be written as a sum of positive squares in 4 ways, for example, as 791972164 + 1350048049 = 28142^2 + 36743^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142020213 - 24 = 2142020197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142020191 and 2142020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142020263) 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 7 ways as a sum of consecutive naturals, for example, 240770 + ... + 249507.

It is an arithmetic number, because the mean of its divisors is an integer number (284606379).

Almost surely, 22142020213 is an apocalyptic number.

It is an amenable number.

2142020213 is a deficient number, since it is larger than the sum of its proper divisors (134830819).

2142020213 is a wasteful number, since it uses less digits than its factorization.

2142020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490551.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2142020213 is about 46281.9642301404. The cubic root of 2142020213 is about 1289.0641235950.

Adding to 2142020213 its reverse (3120202412), we get a palindrome (5262222625).

The spelling of 2142020213 in words is "two billion, one hundred forty-two million, twenty thousand, two hundred thirteen".

Divisors: 1 17 257 4369 490277 8334709 126001189 2142020213