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442022123310013 is a prime number
BaseRepresentation
bin110010010000001000100101…
…1101001001000101110111101
32010222001220100202221120102201
41210200101023221020232331
5430414042302031410023
64204034054331351501
7162051021164361301
oct14440211351105675
92128056322846381
10442022123310013
1111892959112a834
12416aaa228b2591
1315c8467991425c
147b21db0891d01
1536180231b2bad
hex192044ba48bbd

442022123310013 has 2 divisors, whose sum is σ = 442022123310014. Its totient is φ = 442022123310012.

The previous prime is 442022123309999. The next prime is 442022123310091. The reversal of 442022123310013 is 310013321220244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301774640642244 + 140247482667769 = 17371662^2 + 11842613^2 .

It is a cyclic number.

It is not a de Polignac number, because 442022123310013 - 25 = 442022123309981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442022123910013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221011061655006 + 221011061655007.

It is an arithmetic number, because the mean of its divisors is an integer number (221011061655007).

Almost surely, 2442022123310013 is an apocalyptic number.

It is an amenable number.

442022123310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

442022123310013 is an equidigital number, since it uses as much as digits as its factorization.

442022123310013 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 442022123310013 its reverse (310013321220244), we get a palindrome (752035444530257).

The spelling of 442022123310013 in words is "four hundred forty-two trillion, twenty-two billion, one hundred twenty-three million, three hundred ten thousand, thirteen".