Search a number
-
+
20120320112220 = 223251011329183269
BaseRepresentation
bin1001001001100101000001…
…00010000111011001011100
32122020111001200222111120100
410210302200202013121130
510114122403422042340
6110443051503421100
74144434201061026
oct444624042073134
978214050874510
1020120320112220
116457a86193209
12230b5525b4790
13b2c4518bb403
144d7b85cd1016
1524d597ebe830
hex124ca088765c

20120320112220 has 144 divisors (see below), whose sum is σ = 61641288989280. Its totient is φ = 5311832256000.

The previous prime is 20120320112183. The next prime is 20120320112231. The reversal of 20120320112220 is 2221102302102.

20120320112220 is a `hidden beast` number, since 2 + 0 + 12 + 0 + 320 + 112 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20120320112193 and 20120320112202.

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, 241588746 + ... + 241672014.

It is an arithmetic number, because the mean of its divisors is an integer number (428064506870).

Almost surely, 220120320112220 is an apocalyptic number.

20120320112220 is a gapful number since it is divisible by the number (20) 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 20120320112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820644494640).

20120320112220 is an abundant number, since it is smaller than the sum of its proper divisors (41520968877060).

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

20120320112220 is a wasteful number, since it uses less digits than its factorization.

20120320112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96676 (or 96671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20120320112220 its reverse (2221102302102), we get a palindrome (22341422414322).

The spelling of 20120320112220 in words is "twenty trillion, one hundred twenty billion, three hundred twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 13291 18180 26582 39873 53164 66455 79746 83269 119619 132910 159492 166538 199365 239238 249807 265820 333076 398730 416345 478476 499614 598095 749421 797460 832690 999228 1196190 1249035 1342391 1498842 1665380 2392380 2498070 2684782 2997684 3747105 4027173 4996140 5369564 6711955 7494210 8054346 8410169 12081519 13423910 14988420 16108692 16820338 20135865 24163038 25230507 26847820 33640676 40271730 42050845 48326076 50461014 60407595 75691521 80543460 84101690 100922028 120815190 126152535 151383042 168203380 241630380 252305070 302766084 378457605 504610140 756915210 1106728279 1513830420 2213456558 3320184837 4426913116 5533641395 6640369674 9960554511 11067282790 13280739348 16600924185 19921109022 22134565580 33201848370 39842218044 49802772555 66403696740 99605545110 111779556179 199211090220 223559112358 335338668537 447118224716 558897780895 670677337074 1006016005611 1117795561790 1341354674148 1676693342685 2012032011222 2235591123580 3353386685370 4024064022444 5030080028055 6706773370740 10060160056110 20120320112220