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13220040020 = 225111916319403
BaseRepresentation
bin11000100111111100…
…11100110101010100
31021010022211121121212
430103332130311110
5204033312240040
610023451200552
7645414325505
oct142376346524
937108747555
1013220040020
115674405810
12268b446158
131328b546b5
148d5a86bac
15525918d65
hex313f9cd54

13220040020 has 96 divisors (see below), whose sum is σ = 32077140480. Its totient is φ = 4526098560.

The previous prime is 13220040019. The next prime is 13220040059. The reversal of 13220040020 is 2004002231.

It is a junction number, because it is equal to n+sod(n) for n = 13220039977 and 13220040004.

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 31 ways as a sum of consecutive naturals, for example, 671639 + ... + 691041.

It is an arithmetic number, because the mean of its divisors is an integer number (334136880).

Almost surely, 213220040020 is an apocalyptic number.

13220040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038570240).

13220040020 is an abundant number, since it is smaller than the sum of its proper divisors (18857100460).

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

13220040020 is a wasteful number, since it uses less digits than its factorization.

13220040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19605 (or 19603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 13220040020 its reverse (2004002231), we get a palindrome (15224042251).

The spelling of 13220040020 in words is "thirteen billion, two hundred twenty million, forty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 163 190 209 220 326 380 418 652 815 836 1045 1630 1793 2090 3097 3260 3586 4180 6194 7172 8965 12388 15485 17930 19403 30970 34067 35860 38806 61940 68134 77612 97015 136268 170335 194030 213433 340670 368657 388060 426866 681340 737314 853732 1067165 1474628 1843285 2134330 3162689 3686570 4055227 4268660 6325378 7373140 8110454 12650756 15813445 16220908 20276135 31626890 34789579 40552270 60091091 63253780 69579158 81104540 120182182 139158316 173947895 240364364 300455455 347895790 600910910 661002001 695791580 1201821820 1322004002 2644008004 3305010005 6610020010 13220040020