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13220865735 = 35711127193467
BaseRepresentation
bin11000101000000011…
…00110011011000111
31021010101101120021220
430110001212123013
5204034020200420
610023521011423
7645424335030
oct142401463307
937111346256
1013220865735
11567491a120
12268b783b73
13132908349c
148d5c1da87
15525a2d840
hex3140666c7

13220865735 has 128 divisors (see below), whose sum is σ = 26775650304. Its totient is φ = 5411266560.

The previous prime is 13220865733. The next prime is 13220865739. The reversal of 13220865735 is 53756802231.

It is a happy number.

It is not a de Polignac number, because 13220865735 - 21 = 13220865733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220865731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28309972 + ... + 28310438.

It is an arithmetic number, because the mean of its divisors is an integer number (209184768).

Almost surely, 213220865735 is an apocalyptic number.

13220865735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13220865735 is an abundant number, since it is smaller than the sum of its proper divisors (13554784569).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13220865735 is a wasteful number, since it uses less digits than its factorization.

13220865735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13220865735 in words is "thirteen billion, two hundred twenty million, eight hundred sixty-five thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 193 231 381 385 467 579 635 889 965 1155 1351 1397 1401 1905 2123 2335 2667 2895 3269 4053 4191 4445 5137 6369 6755 6985 7005 9779 9807 10615 13335 14861 15411 16345 20265 20955 24511 25685 29337 31845 35959 44583 48895 49035 59309 73533 74305 77055 90131 107877 122555 146685 171577 177927 179795 222915 269621 270393 296545 367665 415163 450655 514731 539385 630917 652399 808863 857885 889635 991441 1245489 1348105 1351965 1887347 1892751 1957197 2075815 2573655 2974323 3154585 3261995 4044315 4566793 4957205 5662041 6227445 6940087 9436735 9463755 9785985 11446637 13700379 14871615 20820261 22833965 28310205 34339911 34700435 57233185 68501895 80126459 104101305 125913007 171699555 240379377 377739021 400632295 629565035 881391049 1201896885 1888695105 2644173147 4406955245 13220865735