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145313313422201 is a prime number
BaseRepresentation
bin100001000010100101100100…
…011011010111101101111001
3201001111211001122211121122122
4201002211210123113231321
5123021303131214002301
61233020003053331025
742415353241142561
oct4102454433275571
9631454048747578
10145313313422201
1142335037131171
121436a83a796a75
136310ca98c2482
1427c52b8009da1
1511beded0ce81b
hex8429646d7b79

145313313422201 has 2 divisors, whose sum is σ = 145313313422202. Its totient is φ = 145313313422200.

The previous prime is 145313313422159. The next prime is 145313313422227. The reversal of 145313313422201 is 102224313313541.

It is a happy number.

145313313422201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86123986650601 + 59189326771600 = 9280301^2 + 7693460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145313313422201 is a prime.

It is a super-2 number, since 2×1453133134222012 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (145313313322201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72656656711100 + 72656656711101.

It is an arithmetic number, because the mean of its divisors is an integer number (72656656711101).

Almost surely, 2145313313422201 is an apocalyptic number.

It is an amenable number.

145313313422201 is a deficient number, since it is larger than the sum of its proper divisors (1).

145313313422201 is an equidigital number, since it uses as much as digits as its factorization.

145313313422201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 145313313422201 its reverse (102224313313541), we get a palindrome (247537626735742).

The spelling of 145313313422201 in words is "one hundred forty-five trillion, three hundred thirteen billion, three hundred thirteen million, four hundred twenty-two thousand, two hundred one".