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101200993 is a prime number
BaseRepresentation
bin1100000100000…
…11010001100001
321001102112122221
412002003101201
5201401412433
614013031041
72336123425
oct602032141
9231375587
10101200993
1152141893
1229a85481
1317c7435a
14d624b85
158d4072d
hex6083461

101200993 has 2 divisors, whose sum is σ = 101200994. Its totient is φ = 101200992.

The previous prime is 101200991. The next prime is 101201003. The reversal of 101200993 is 399002101.

101200993 is nontrivially palindromic in base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92486689 + 8714304 = 9617^2 + 2952^2 .

It is an emirp because it is prime and its reverse (399002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101200993 - 21 = 101200991 is a prime.

Together with 101200991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101200991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600496 + 50600497.

It is an arithmetic number, because the mean of its divisors is an integer number (50600497).

Almost surely, 2101200993 is an apocalyptic number.

It is an amenable number.

101200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200993 is an equidigital number, since it uses as much as digits as its factorization.

101200993 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 25.

The square root of 101200993 is about 10059.8704266009. The cubic root of 101200993 is about 466.0096656618.

The spelling of 101200993 in words is "one hundred one million, two hundred thousand, nine hundred ninety-three".