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13823115301 is a prime number
BaseRepresentation
bin11001101111110110…
…00000000000100101
31022200100122000101101
430313323000000211
5211302204142201
610203353200101
7666356353462
oct146773000045
938610560341
1013823115301
115953874136
122819400031
1313c3a88c88
14951bd0669
1555d842d01
hex337ec0025

13823115301 has 2 divisors, whose sum is σ = 13823115302. Its totient is φ = 13823115300.

The previous prime is 13823115217. The next prime is 13823115311. The reversal of 13823115301 is 10351132831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10805810401 + 3017304900 = 103951^2 + 54930^2 .

It is a cyclic number.

It is not a de Polignac number, because 13823115301 - 233 = 5233180709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13823115301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13823115311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6911557650 + 6911557651.

It is an arithmetic number, because the mean of its divisors is an integer number (6911557651).

Almost surely, 213823115301 is an apocalyptic number.

It is an amenable number.

13823115301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13823115301 is an equidigital number, since it uses as much as digits as its factorization.

13823115301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 13823115301 in words is "thirteen billion, eight hundred twenty-three million, one hundred fifteen thousand, three hundred one".