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100330213033 is a prime number
BaseRepresentation
bin101110101110000100…
…1011000111010101001
3100120222011222220101001
41131130021120322221
53120434013304113
6114031400355001
710151163511501
oct1353411307251
9316864886331
10100330213033
1139605876036
1217540475a61
1395cc05847b
144bdac5aa01
1529232157dd
hex175c258ea9

100330213033 has 2 divisors, whose sum is σ = 100330213034. Its totient is φ = 100330213032.

The previous prime is 100330213031. The next prime is 100330213037. The reversal of 100330213033 is 330312033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68056809129 + 32273403904 = 260877^2 + 179648^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330213033 - 21 = 100330213031 is a prime.

Together with 100330213031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100330213033.

It is not a weakly prime, because it can be changed into another prime (100330213031) 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 as a sum of consecutive naturals, namely, 50165106516 + 50165106517.

It is an arithmetic number, because the mean of its divisors is an integer number (50165106517).

Almost surely, 2100330213033 is an apocalyptic number.

It is an amenable number.

100330213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330213033 is an equidigital number, since it uses as much as digits as its factorization.

100330213033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 100330213033 its reverse (330312033001), we get a palindrome (430642246034).

The spelling of 100330213033 in words is "one hundred billion, three hundred thirty million, two hundred thirteen thousand, thirty-three".