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103313132300249 is a prime number
BaseRepresentation
bin10111011111011001110110…
…100011010010011111011001
3111112210122020211020210202122
4113133121312203102133121
5102020140243332101444
61003421221530111025
730522061505060444
oct2737316643223731
9445718224223678
10103313132300249
112aa119428a7753
12b70693ab7b475
1345855043b8bc1
141b7254cdb465b
15be26295594ee
hex5df6768d27d9

103313132300249 has 2 divisors, whose sum is σ = 103313132300250. Its totient is φ = 103313132300248.

The previous prime is 103313132300227. The next prime is 103313132300281. The reversal of 103313132300249 is 942003231313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100295417857600 + 3017714442649 = 10014760^2 + 1737157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103313132300249 is a prime.

It is not a weakly prime, because it can be changed into another prime (103313132300549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656566150124 + 51656566150125.

It is an arithmetic number, because the mean of its divisors is an integer number (51656566150125).

Almost surely, 2103313132300249 is an apocalyptic number.

It is an amenable number.

103313132300249 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313132300249 is an equidigital number, since it uses as much as digits as its factorization.

103313132300249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 103313132300249 in words is "one hundred three trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thousand, two hundred forty-nine".