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13132601027 = 713541726641
BaseRepresentation
bin11000011101100001…
…11001011011000011
31020220020022020212122
430032300321123003
5203343421213102
610011045114455
7643303160360
oct141660713303
936806266778
1013132601027
11562a013587
1226660b8a2b
1313139bb350
148c8205467
1551cde60a2
hex30ec396c3

13132601027 has 16 divisors (see below), whose sum is σ = 16166791872. Its totient is φ = 10388321280.

The previous prime is 13132601011. The next prime is 13132601029. The reversal of 13132601027 is 72010623131.

13132601027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13132601027 - 24 = 13132601011 is a prime.

It is a super-2 number, since 2×131326010272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132600987 and 13132601005.

It is not an unprimeable number, because it can be changed into a prime (13132601029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479627 + ... + 506267.

It is an arithmetic number, because the mean of its divisors is an integer number (1010424492).

Almost surely, 213132601027 is an apocalyptic number.

13132601027 is a deficient number, since it is larger than the sum of its proper divisors (3034190845).

13132601027 is a wasteful number, since it uses less digits than its factorization.

13132601027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32078.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 13132601027 in words is "thirteen billion, one hundred thirty-two million, six hundred one thousand, twenty-seven".

Divisors: 1 7 13 91 5417 26641 37919 70421 186487 346333 492947 2424331 144314297 1010200079 1876085861 13132601027