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20124695097841 is a prime number
BaseRepresentation
bin1001001001101101001010…
…10011010111000111110001
32122020220100121021210120211
410210312211103113013301
510114210333421112331
6110445053550504121
74144650463614115
oct444664523270761
978226317253524
1020124695097841
116459920807704
122310373805041
13b2c99b1037b9
144d807cd77745
1524d7521168b1
hex124da54d71f1

20124695097841 has 2 divisors, whose sum is σ = 20124695097842. Its totient is φ = 20124695097840.

The previous prime is 20124695097839. The next prime is 20124695097863. The reversal of 20124695097841 is 14879059642102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17148742338816 + 2975952759025 = 4141104^2 + 1725095^2 .

It is a cyclic number.

It is not a de Polignac number, because 20124695097841 - 21 = 20124695097839 is a prime.

It is a super-2 number, since 2×201246950978412 (a number of 27 digits) contains 22 as substring.

Together with 20124695097839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20124695091841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10062347548920 + 10062347548921.

It is an arithmetic number, because the mean of its divisors is an integer number (10062347548921).

Almost surely, 220124695097841 is an apocalyptic number.

It is an amenable number.

20124695097841 is a deficient number, since it is larger than the sum of its proper divisors (1).

20124695097841 is an equidigital number, since it uses as much as digits as its factorization.

20124695097841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 20124695097841 in words is "twenty trillion, one hundred twenty-four billion, six hundred ninety-five million, ninety-seven thousand, eight hundred forty-one".