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1303404121093 is a prime number
BaseRepresentation
bin10010111101111000111…
…100001000110000000101
311121121022110210201111011
4102331320330020300011
5132323332423333333
62434435305442221
7163111366141564
oct22757074106005
94547273721434
101303404121093
11462852712808
121907374a0371
1395bab433c89
1447129709bdb
1523d87be39cd
hex12f78f08c05

1303404121093 has 2 divisors, whose sum is σ = 1303404121094. Its totient is φ = 1303404121092.

The previous prime is 1303404121091. The next prime is 1303404121139. The reversal of 1303404121093 is 3901214043031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1293913075009 + 9491046084 = 1137503^2 + 97422^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303404121093 - 21 = 1303404121091 is a prime.

Together with 1303404121091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303404121091) 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, 651702060546 + 651702060547.

It is an arithmetic number, because the mean of its divisors is an integer number (651702060547).

Almost surely, 21303404121093 is an apocalyptic number.

It is an amenable number.

1303404121093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303404121093 is an equidigital number, since it uses as much as digits as its factorization.

1303404121093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 1303404121093 in words is "one trillion, three hundred three billion, four hundred four million, one hundred twenty-one thousand, ninety-three".