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13003032031 = 115322303657
BaseRepresentation
bin11000001110000101…
…01000010111011111
31020120012111110121221
430013002220113133
5203112234011111
65550140034211
7640140643243
oct140702502737
936505443557
1013003032031
115572966470
12262a832967
1312c2bc3ac2
148b4d18423
15511850371
hex3070a85df

13003032031 has 8 divisors (see below), whose sum is σ = 14452770384. Its totient is φ = 11597901120.

The previous prime is 13003032019. The next prime is 13003032041. The reversal of 13003032031 is 13023030031.

13003032031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13003032031 - 27 = 13003031903 is a prime.

It is a super-2 number, since 2×130030320312 (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 = 13003031996 and 13003032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003032041) 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 7 ways as a sum of consecutive naturals, for example, 11151246 + ... + 11152411.

It is an arithmetic number, because the mean of its divisors is an integer number (1806596298).

Almost surely, 213003032031 is an apocalyptic number.

13003032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13003032031 is a deficient number, since it is larger than the sum of its proper divisors (1449738353).

13003032031 is a wasteful number, since it uses less digits than its factorization.

13003032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22303721.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13003032031 its reverse (13023030031), we get a palindrome (26026062062).

The spelling of 13003032031 in words is "thirteen billion, three million, thirty-two thousand, thirty-one".

Divisors: 1 11 53 583 22303657 245340227 1182093821 13003032031