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1303324234181 is a prime number
BaseRepresentation
bin10010111101110100001…
…011011001000111000101
311121121002220111001020122
4102331310023121013011
5132323202000443211
62434423333311325
7163106406126254
oct22756413310705
94547086431218
101303324234181
11462811609572
12190714795545
1395b97a13208
144711cc7279b
1523d80bb36db
hex12f742d91c5

1303324234181 has 2 divisors, whose sum is σ = 1303324234182. Its totient is φ = 1303324234180.

The previous prime is 1303324234141. The next prime is 1303324234183. The reversal of 1303324234181 is 1814324233031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1300295493025 + 3028741156 = 1140305^2 + 55034^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303324234181 - 210 = 1303324233157 is a prime.

It is a super-3 number, since 3×13033242341813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1303324234183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303324234183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651662117090 + 651662117091.

It is an arithmetic number, because the mean of its divisors is an integer number (651662117091).

Almost surely, 21303324234181 is an apocalyptic number.

It is an amenable number.

1303324234181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303324234181 is an equidigital number, since it uses as much as digits as its factorization.

1303324234181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 1303324234181 in words is "one trillion, three hundred three billion, three hundred twenty-four million, two hundred thirty-four thousand, one hundred eighty-one".