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13220032014 = 2327177186927
BaseRepresentation
bin11000100111111100…
…11010111000001110
31021010022211012122100
430103332122320032
5204033312011024
610023451055530
7645414263250
oct142376327016
937108735570
1013220032014
1156743aa7a2
12268b4415a6
131328b50b67
148d5a83cd0
155259167c9
hex313f9ae0e

13220032014 has 96 divisors (see below), whose sum is σ = 35149510656. Its totient is φ = 3504856320.

The previous prime is 13220031971. The next prime is 13220032073. The reversal of 13220032014 is 41023002231.

13220032014 is a `hidden beast` number, since 132 + 200 + 320 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108619 + ... + 195545.

It is an arithmetic number, because the mean of its divisors is an integer number (366140736).

Almost surely, 213220032014 is an apocalyptic number.

13220032014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220032014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574755328).

13220032014 is an abundant number, since it is smaller than the sum of its proper divisors (21929478642).

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

13220032014 is a wasteful number, since it uses less digits than its factorization.

13220032014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87030 (or 87027 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13220032014 its reverse (41023002231), we get a palindrome (54243034245).

The spelling of 13220032014 in words is "thirteen billion, two hundred twenty million, thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 213 238 306 357 426 497 639 714 994 1071 1207 1278 1491 2142 2414 2982 3621 4473 7242 8449 8946 10863 16898 21726 25347 50694 76041 86927 152082 173854 260781 521562 608489 782343 1216978 1477759 1564686 1825467 2955518 3650934 4433277 5476401 6171817 8866554 10344313 10952802 12343634 13299831 18515451 20688626 26599662 31032939 37030902 43202719 55546353 62065878 86405438 93098817 104920889 111092706 129608157 186197634 209841778 259216314 314762667 388824471 629525334 734446223 777648942 944288001 1468892446 1888576002 2203338669 4406677338 6610016007 13220032014