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1303121067553 is a prime number
BaseRepresentation
bin10010111101101000000…
…100010111111000100001
311121120120202012010000201
4102331220010113320201
5132322242443130203
62434351234545201
7163101361212604
oct22755004277041
94546522163021
101303121067553
11462717963468
12190678738201
1395b648ba786
14470ddca833b
1523d6ce30e1d
hex12f68117e21

1303121067553 has 2 divisors, whose sum is σ = 1303121067554. Its totient is φ = 1303121067552.

The previous prime is 1303121067533. The next prime is 1303121067557. The reversal of 1303121067553 is 3557601213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822389618449 + 480731449104 = 906857^2 + 693348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1303121067553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303121067557) 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, 651560533776 + 651560533777.

It is an arithmetic number, because the mean of its divisors is an integer number (651560533777).

Almost surely, 21303121067553 is an apocalyptic number.

It is an amenable number.

1303121067553 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303121067553 is an equidigital number, since it uses as much as digits as its factorization.

1303121067553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 1303121067553 in words is "one trillion, three hundred three billion, one hundred twenty-one million, sixty-seven thousand, five hundred fifty-three".