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2120200213 is a prime number
BaseRepresentation
bin111111001011111…
…1011000000010101
312110202112022220211
41332113323000111
513320232401323
6550215125421
7103353255505
oct17627730025
95422468824
102120200213
1199888588a
124b2073871
1327a341451
14161827a05
15c620770d
hex7e5fb015

2120200213 has 2 divisors, whose sum is σ = 2120200214. Its totient is φ = 2120200212.

The previous prime is 2120200171. The next prime is 2120200231. The reversal of 2120200213 is 3120020212.

Together with next prime (2120200231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1765932529 + 354267684 = 42023^2 + 18822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120200213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120200193 and 2120200202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120200013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060100106 + 1060100107.

It is an arithmetic number, because the mean of its divisors is an integer number (1060100107).

Almost surely, 22120200213 is an apocalyptic number.

It is an amenable number.

2120200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120200213 is an equidigital number, since it uses as much as digits as its factorization.

2120200213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2120200213 is about 46045.6318558015. The cubic root of 2120200213 is about 1284.6720966845.

Adding to 2120200213 its reverse (3120020212), we get a palindrome (5240220425).

The spelling of 2120200213 in words is "two billion, one hundred twenty million, two hundred thousand, two hundred thirteen".