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13824036601 is a prime number
BaseRepresentation
bin11001101111111101…
…00000111011111001
31022200102100211011121
430313332200323321
5211302423132401
610203425025241
7666400241464
oct146776407371
938612324147
1013824036601
115954343341
122819785221
1313c401c41b
14951d902db
1555d975ca1
hex337fa0ef9

13824036601 has 2 divisors, whose sum is σ = 13824036602. Its totient is φ = 13824036600.

The previous prime is 13824036529. The next prime is 13824036619. The reversal of 13824036601 is 10663042831.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10983040000 + 2840996601 = 104800^2 + 53301^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824036601 - 213 = 13824028409 is a prime.

It is a super-2 number, since 2×138240366012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13824036671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6912018300 + 6912018301.

It is an arithmetic number, because the mean of its divisors is an integer number (6912018301).

Almost surely, 213824036601 is an apocalyptic number.

It is an amenable number.

13824036601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824036601 is an equidigital number, since it uses as much as digits as its factorization.

13824036601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 13824036601 in words is "thirteen billion, eight hundred twenty-four million, thirty-six thousand, six hundred one".