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101245533313 is a prime number
BaseRepresentation
bin101111001001010110…
…1000011110010000001
3100200022222022222202011
41132102231003302001
53124322324031223
6114302255052521
710212646555651
oct1362255036201
9320288288664
10101245533313
1139a35511781
1217756b11141
1397168871c2
144c86644361
15297876b80d
hex1792b43c81

101245533313 has 2 divisors, whose sum is σ = 101245533314. Its totient is φ = 101245533312.

The previous prime is 101245533299. The next prime is 101245533397. The reversal of 101245533313 is 313335542101.

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., 72653428849 + 28592104464 = 269543^2 + 169092^2 .

It is a cyclic number.

It is not a de Polignac number, because 101245533313 - 25 = 101245533281 is a prime.

It is not a weakly prime, because it can be changed into another prime (101245533913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50622766656 + 50622766657.

It is an arithmetic number, because the mean of its divisors is an integer number (50622766657).

Almost surely, 2101245533313 is an apocalyptic number.

It is an amenable number.

101245533313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101245533313 is an equidigital number, since it uses as much as digits as its factorization.

101245533313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 101245533313 in words is "one hundred one billion, two hundred forty-five million, five hundred thirty-three thousand, three hundred thirteen".