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145273183313 is a prime number
BaseRepresentation
bin1000011101001011110…
…1001101110001010001
3111212222100010100100212
42013102331031301101
54340004413331223
6150423152253505
713332001453406
oct2072275156121
9455870110325
10145273183313
1156678a19885
12241a3841295
13109121bc5cb
147061ac22ad
153ba3b3b278
hex21d2f4dc51

145273183313 has 2 divisors, whose sum is σ = 145273183314. Its totient is φ = 145273183312.

The previous prime is 145273183309. The next prime is 145273183331. The reversal of 145273183313 is 313381372541.

145273183313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (145273183331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97826323984 + 47446859329 = 312772^2 + 217823^2 .

It is a cyclic number.

It is not a de Polignac number, because 145273183313 - 22 = 145273183309 is a prime.

It is a super-2 number, since 2×1452731833132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (145273183333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72636591656 + 72636591657.

It is an arithmetic number, because the mean of its divisors is an integer number (72636591657).

Almost surely, 2145273183313 is an apocalyptic number.

It is an amenable number.

145273183313 is a deficient number, since it is larger than the sum of its proper divisors (1).

145273183313 is an equidigital number, since it uses as much as digits as its factorization.

145273183313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 41.

The spelling of 145273183313 in words is "one hundred forty-five billion, two hundred seventy-three million, one hundred eighty-three thousand, three hundred thirteen".