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2102120093 is a prime number
BaseRepresentation
bin111110101001011…
…1100111010011101
312102111111202122202
41331102330322131
513301120320333
6544331421245
7103043504003
oct17522747235
95374452582
102102120093
11989656a37
124a7bb4825
13276680b58
1415d27ca73
15c48355e8
hex7d4bce9d

2102120093 has 2 divisors, whose sum is σ = 2102120094. Its totient is φ = 2102120092.

The previous prime is 2102120051. The next prime is 2102120147. The reversal of 2102120093 is 3900212012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1732057924 + 370062169 = 41618^2 + 19237^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102120093 - 28 = 2102119837 is a prime.

It is a super-3 number, since 3×21021200933 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102120393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051060046 + 1051060047.

It is an arithmetic number, because the mean of its divisors is an integer number (1051060047).

Almost surely, 22102120093 is an apocalyptic number.

It is an amenable number.

2102120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102120093 is an equidigital number, since it uses as much as digits as its factorization.

2102120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2102120093 is about 45848.8832252215. The cubic root of 2102120093 is about 1281.0099640025.

It can be divided in two parts, 210212009 and 3, that added together give a palindrome (210212012).

The spelling of 2102120093 in words is "two billion, one hundred two million, one hundred twenty thousand, ninety-three".