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13780013143 = 1329314725087
BaseRepresentation
bin11001101010101101…
…00101000001010111
31022120100112012100011
430311112211001113
5211210140410033
610155213301051
7665324115301
oct146526450127
938510465304
1013780013143
115931504916
122806a94787
1313b7b77440
1494a1b0971
15559b7bccd
hex3355a5057

13780013143 has 32 divisors (see below), whose sum is σ = 16184770560. Its totient is φ = 11631876480.

The previous prime is 13780013129. The next prime is 13780013173. The reversal of 13780013143 is 34131008731.

13780013143 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 13780013143 - 225 = 13746458711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780013123) 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 31 ways as a sum of consecutive naturals, for example, 536746 + ... + 561832.

It is an arithmetic number, because the mean of its divisors is an integer number (505774080).

Almost surely, 213780013143 is an apocalyptic number.

13780013143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13780013143 is a deficient number, since it is larger than the sum of its proper divisors (2404757417).

13780013143 is a wasteful number, since it uses less digits than its factorization.

13780013143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25207.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 13780013143 in words is "thirteen billion, seven hundred eighty million, thirteen thousand, one hundred forty-three".

Divisors: 1 13 29 31 47 377 403 611 899 1363 1457 11687 17719 18941 25087 42253 326131 549289 727523 777697 1179089 9457799 10110061 15328157 22553213 34193581 36551759 293191769 444516553 475172867 1060001011 13780013143