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105145333021 is a prime number
BaseRepresentation
bin110000111101100100…
…1100111010100011101
3101001101202111100020101
41201323021213110131
53210314201124041
6120145245221101
710411412404261
oct1417311472435
9331352440211
10105145333021
1140656887a43
1218464b61791
139bb87c4bb1
1451365540a1
152b05cecb31
hex187b26751d

105145333021 has 2 divisors, whose sum is σ = 105145333022. Its totient is φ = 105145333020.

The previous prime is 105145333019. The next prime is 105145333061. The reversal of 105145333021 is 120333541501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105145196121 + 136900 = 324261^2 + 370^2 .

It is an emirp because it is prime and its reverse (120333541501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105145333021 - 21 = 105145333019 is a prime.

It is a super-2 number, since 2×1051453330212 (a number of 23 digits) contains 22 as substring.

Together with 105145333019, 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 (105145333061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572666510 + 52572666511.

It is an arithmetic number, because the mean of its divisors is an integer number (52572666511).

Almost surely, 2105145333021 is an apocalyptic number.

It is an amenable number.

105145333021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105145333021 is an equidigital number, since it uses as much as digits as its factorization.

105145333021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 105145333021 its reverse (120333541501), we get a palindrome (225478874522).

The spelling of 105145333021 in words is "one hundred five billion, one hundred forty-five million, three hundred thirty-three thousand, twenty-one".