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13000242031 = 71939622681
BaseRepresentation
bin11000001101101111…
…11111001101101111
31020120000020201110121
430012313333031233
5203111030221111
65550000145411
7640105143160
oct140667771557
936500221417
1013000242031
115571330287
122629908267
1312c2457c0a
148b47cd767
1551149d871
hex306dff36f

13000242031 has 8 divisors (see below), whose sum is σ = 14934402464. Its totient is φ = 11085327360.

The previous prime is 13000242029. The next prime is 13000242037. The reversal of 13000242031 is 13024200031.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000242031 - 21 = 13000242029 is a prime.

It is a super-2 number, since 2×130002420312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000241996 and 13000242014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000242037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4809990 + ... + 4812691.

It is an arithmetic number, because the mean of its divisors is an integer number (1866800308).

Almost surely, 213000242031 is an apocalyptic number.

13000242031 is a deficient number, since it is larger than the sum of its proper divisors (1934160433).

13000242031 is an equidigital number, since it uses as much as digits as its factorization.

13000242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622881.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13000242031 its reverse (13024200031), we get a palindrome (26024442062).

The spelling of 13000242031 in words is "thirteen billion, two hundred forty-two thousand, thirty-one".

Divisors: 1 7 193 1351 9622681 67358767 1857177433 13000242031