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2102123993 is a prime number
BaseRepresentation
bin111110101001011…
…1101110111011001
312102111111222000012
41331102331313121
513301120431433
6544331451305
7103043521244
oct17522756731
95374458005
102102123993
11989659962
124a7bb6b35
13276682868
1415d28025b
15c4836848
hex7d4bddd9

2102123993 has 2 divisors, whose sum is σ = 2102123994. Its totient is φ = 2102123992.

The previous prime is 2102123977. The next prime is 2102124007. The reversal of 2102123993 is 3993212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1077611929 + 1024512064 = 32827^2 + 32008^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102123993 - 24 = 2102123977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102123923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051061996 + 1051061997.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061997).

Almost surely, 22102123993 is an apocalyptic number.

It is an amenable number.

2102123993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102123993 is an equidigital number, since it uses as much as digits as its factorization.

2102123993 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.

The square root of 2102123993 is about 45848.9257562268. The cubic root of 2102123993 is about 1281.0107562084.

The spelling of 2102123993 in words is "two billion, one hundred two million, one hundred twenty-three thousand, nine hundred ninety-three".