Search a number
-
+
20221000201120 = 2551910916096833
BaseRepresentation
bin1001001100100000100011…
…00010001011001110100000
32122121002221021022221101211
410212100101202023032200
510122300102022413440
6111001222123235504
74154630143522015
oct446202142131640
978532837287354
1020221000201120
1164967504a9154
122326b70078b94
13b38aa8288404
144dc9b73c570c
15250edbc96eea
hex12641188b3a0

20221000201120 has 96 divisors (see below), whose sum is σ = 50332535023680. Its totient is φ = 7655670005760.

The previous prime is 20221000201111. The next prime is 20221000201153. The reversal of 20221000201120 is 2110200012202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20221000201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268224 + ... + 6365056.

It is an arithmetic number, because the mean of its divisors is an integer number (524297239830).

Almost surely, 220221000201120 is an apocalyptic number.

20221000201120 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 20221000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166267511840).

20221000201120 is an abundant number, since it is smaller than the sum of its proper divisors (30111534822560).

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

20221000201120 is a wasteful number, since it uses less digits than its factorization.

20221000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097958 (or 6097950 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20221000201120 its reverse (2110200012202), we get a palindrome (22331200213322).

The spelling of 20221000201120 in words is "twenty trillion, two hundred twenty-one billion, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1091 1520 2182 3040 4364 5455 8728 10910 17456 20729 21820 34912 41458 43640 82916 87280 103645 165832 174560 207290 331664 414580 663328 829160 1658320 3316640 6096833 12193666 24387332 30484165 48774664 60968330 97549328 115839827 121936660 195098656 231679654 243873320 463359308 487746640 579199135 926718616 975493280 1158398270 1853437232 2316796540 3706874464 4633593080 6651644803 9267186160 13303289606 18534372320 26606579212 33258224015 53213158424 66516448030 106426316848 126381251257 133032896060 212852633696 252762502514 266065792120 505525005028 532131584240 631906256285 1011050010056 1064263168480 1263812512570 2022100020112 2527625025140 4044200040224 5055250050280 10110500100560 20221000201120