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2130100033 is a prime number
BaseRepresentation
bin111111011110110…
…1011111101000001
312111110011021220211
41332331223331001
513330301200113
6551211234121
7103533360115
oct17675537501
95443137824
102130100033
119a3427756
124b5448941
1327c3c9529
14162c83745
15c7010b3d
hex7ef6bf41

2130100033 has 2 divisors, whose sum is σ = 2130100034. Its totient is φ = 2130100032.

The previous prime is 2130100031. The next prime is 2130100057. The reversal of 2130100033 is 3300010312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1667333889 + 462766144 = 40833^2 + 21512^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130100033 - 21 = 2130100031 is a prime.

Together with 2130100031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2130099986 and 2130100022.

It is not a weakly prime, because it can be changed into another prime (2130100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065050016 + 1065050017.

It is an arithmetic number, because the mean of its divisors is an integer number (1065050017).

Almost surely, 22130100033 is an apocalyptic number.

It is an amenable number.

2130100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130100033 is an equidigital number, since it uses as much as digits as its factorization.

2130100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2130100033 is about 46153.0067601234. The cubic root of 2130100033 is about 1286.6684928951.

Adding to 2130100033 its reverse (3300010312), we get a palindrome (5430110345).

The spelling of 2130100033 in words is "two billion, one hundred thirty million, one hundred thousand, thirty-three".