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100304012993 is a prime number
BaseRepresentation
bin101110101101010010…
…1011100011011000001
3100120220100200210200012
41131122211130123001
53120410311403433
6114025023034305
710150425020522
oct1353245343301
9316810623605
10100304012993
11395a2000608
121753373b995
1395c67b3ca2
144bd759a849
152920c8c848
hex175a95c6c1

100304012993 has 2 divisors, whose sum is σ = 100304012994. Its totient is φ = 100304012992.

The previous prime is 100304012957. The next prime is 100304013053. The reversal of 100304012993 is 399210403001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67879528369 + 32424484624 = 260537^2 + 180068^2 .

It is a cyclic number.

It is not a de Polignac number, because 100304012993 - 26 = 100304012929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100304012293) 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, 50152006496 + 50152006497.

It is an arithmetic number, because the mean of its divisors is an integer number (50152006497).

Almost surely, 2100304012993 is an apocalyptic number.

It is an amenable number.

100304012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100304012993 is an equidigital number, since it uses as much as digits as its factorization.

100304012993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

Adding to 100304012993 its reverse (399210403001), we get a palindrome (499514415994).

The spelling of 100304012993 in words is "one hundred billion, three hundred four million, twelve thousand, nine hundred ninety-three".