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20124430122133 is a prime number
BaseRepresentation
bin1001001001101100101011…
…00000100011110010010101
32122020212200010200122020201
410210312111200203302111
510114204313102402013
6110445011403300501
74144641065430151
oct444662540436225
978225603618221
1020124430122133
1164597a5185517
1223102bab1a731
13b2c95824983c
144d8055ac0061
1524d738c253dd
hex124d95823c95

20124430122133 has 2 divisors, whose sum is σ = 20124430122134. Its totient is φ = 20124430122132.

The previous prime is 20124430122131. The next prime is 20124430122143. The reversal of 20124430122133 is 33122103442102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13232875840804 + 6891554281329 = 3637702^2 + 2625177^2 .

It is a cyclic number.

It is not a de Polignac number, because 20124430122133 - 21 = 20124430122131 is a prime.

It is a super-2 number, since 2×201244301221332 (a number of 27 digits) contains 22 as substring.

Together with 20124430122131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20124430122131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10062215061066 + 10062215061067.

It is an arithmetic number, because the mean of its divisors is an integer number (10062215061067).

Almost surely, 220124430122133 is an apocalyptic number.

It is an amenable number.

20124430122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20124430122133 is an equidigital number, since it uses as much as digits as its factorization.

20124430122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 20124430122133 its reverse (33122103442102), we get a palindrome (53246533564235).

The spelling of 20124430122133 in words is "twenty trillion, one hundred twenty-four billion, four hundred thirty million, one hundred twenty-two thousand, one hundred thirty-three".