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13021116129 = 3271092716997
BaseRepresentation
bin11000010000001111…
…00111011011100001
31020121110112020100100
430020013213123201
5203131401204004
65552023413013
7640450442460
oct141007473341
936543466310
1013021116129
1155820982aa
1226348b4169
1312c6886158
148b74a49d7
15513223739
hex3081e76e1

13021116129 has 48 divisors (see below), whose sum is σ = 21775536640. Its totient is φ = 7344120960.

The previous prime is 13021116127. The next prime is 13021116131. The reversal of 13021116129 is 92161112031.

It is a happy number.

13021116129 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 11 + 612 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (13021116127) and next prime (13021116131).

It is not a de Polignac number, because 13021116129 - 21 = 13021116127 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13021116127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857459 + ... + 1864455.

Almost surely, 213021116129 is an apocalyptic number.

It is an amenable number.

13021116129 is a deficient number, since it is larger than the sum of its proper divisors (8754420511).

13021116129 is a wasteful number, since it uses less digits than its factorization.

13021116129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 13021116129 in words is "thirteen billion, twenty-one million, one hundred sixteen thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 63 109 271 327 763 813 981 1897 2289 2439 5691 6867 6997 17073 20991 29539 48979 62973 88617 146937 206773 265851 440811 620319 762673 1860957 1896187 2288019 5338711 5688561 6864057 13273309 16016133 17065683 39819927 48048399 119459781 206684383 620053149 1446790681 1860159447 4340372043 13021116129