Search a number
-
+
13223020020 = 223576128461
BaseRepresentation
bin11000101000010011…
…10100010111110100
31021010112110000102020
430110021310113310
5204040043120040
610024035113140
7645451546530
oct142411642764
937115400366
1013223020020
115676060721
1226904427b0
131329658c02
148d6220bc0
15525d06cd0
hex3142745f4

13223020020 has 144 divisors (see below), whose sum is σ = 43023786624. Its totient is φ = 2972505600.

The previous prime is 13223020009. The next prime is 13223020039. The reversal of 13223020020 is 2002032231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558590 + ... + 1567050.

It is an arithmetic number, because the mean of its divisors is an integer number (298776296).

Almost surely, 213223020020 is an apocalyptic number.

13223020020 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 13223020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511893312).

13223020020 is an abundant number, since it is smaller than the sum of its proper divisors (29800766604).

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

13223020020 is a wasteful number, since it uses less digits than its factorization.

13223020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 8539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13223020020 its reverse (2002032231), we get a palindrome (15225052251).

The spelling of 13223020020 in words is "thirteen billion, two hundred twenty-three million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 3721 4270 5124 6405 7442 8461 8540 11163 12810 14884 16922 18605 22326 25383 25620 26047 33844 37210 42305 44652 50766 52094 55815 59227 74420 78141 84610 101532 104188 111630 118454 126915 130235 156282 169220 177681 223260 236908 253830 260470 296135 312564 355362 390705 507660 516121 520940 592270 710724 781410 888405 1032242 1184540 1548363 1562820 1776810 2064484 2580605 3096726 3553620 3612847 5161210 6193452 7225694 7741815 10322420 10838541 14451388 15483630 18064235 21677082 30967260 31483381 36128470 43354164 54192705 62966762 72256940 94450143 108385410 125933524 157416905 188900286 216770820 220383667 314833810 377800572 440767334 472250715 629667620 661151001 881534668 944501430 1101918335 1322302002 1889002860 2203836670 2644604004 3305755005 4407673340 6611510010 13223020020