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13002002571 = 3127157217363
BaseRepresentation
bin11000001101111101…
…01101000010001011
31020120010120011110210
430012332231002023
5203112003040241
65550102012203
7640126125015
oct140676550213
936503504423
1013002002571
115572322a78
12262a417063
1312c292335c
148b4b2b1b5
155116ea316
hex306fad08b

13002002571 has 16 divisors (see below), whose sum is σ = 17583878144. Its totient is φ = 8544934944.

The previous prime is 13002002567. The next prime is 13002002633. The reversal of 13002002571 is 17520020031.

13002002571 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13002002571 - 22 = 13002002567 is a prime.

It is a super-2 number, since 2×130020025712 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002002171) 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, 48865 + ... + 168498.

It is an arithmetic number, because the mean of its divisors is an integer number (1098992384).

Almost surely, 213002002571 is an apocalyptic number.

13002002571 is a deficient number, since it is larger than the sum of its proper divisors (4581875573).

13002002571 is a wasteful number, since it uses less digits than its factorization.

13002002571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217650.

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 13002002571 in words is "thirteen billion, two million, two thousand, five hundred seventy-one".

Divisors: 1 3 127 157 381 471 19939 59817 217363 652089 27605101 34125991 82815303 102377973 4334000857 13002002571