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1303001002129 is a prime number
BaseRepresentation
bin10010111101100000111…
…010010111000010010001
311121120021101021011020011
4102331200322113002101
5132322021224032004
62434331305314521
7163065402526621
oct22754072270221
94546241234204
101303001002129
11462666107542
12190644495a41
1395b45a6cb48
14470cbd72881
1523d62616004
hex12f60e97091

1303001002129 has 2 divisors, whose sum is σ = 1303001002130. Its totient is φ = 1303001002128.

The previous prime is 1303001002123. The next prime is 1303001002169. The reversal of 1303001002129 is 9212001003031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1277686601104 + 25314401025 = 1130348^2 + 159105^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303001002129 - 27 = 1303001002001 is a prime.

It is a super-2 number, since 2×13030010021292 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1303001002123) 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, 651500501064 + 651500501065.

It is an arithmetic number, because the mean of its divisors is an integer number (651500501065).

Almost surely, 21303001002129 is an apocalyptic number.

It is an amenable number.

1303001002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303001002129 is an equidigital number, since it uses as much as digits as its factorization.

1303001002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 1303001002129 in words is "one trillion, three hundred three billion, one million, two thousand, one hundred twenty-nine".