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2022113140000 = 2554731385009
BaseRepresentation
bin11101011011001111010…
…101011101110100100000
321011022102112121202100021
4131123033111131310200
5231112241430440000
64144540154203224
7266043564044002
oct35331725356440
97138375552307
102022113140000
1170a6341731a8
12287a95723514
131188b897a9b5
146dc29682372
15378ee50911a
hex1d6cf55dd20

2022113140000 has 120 divisors (see below), whose sum is σ = 5042851880220. Its totient is φ = 797764608000.

The previous prime is 2022113139947. The next prime is 2022113140001. The reversal of 2022113140000 is 413112202.

It can be written as a sum of positive squares in 10 ways, for example, as 16479370384 + 2005633769616 = 128372^2 + 1416204^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2022113140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 767496 + ... + 2152504.

Almost surely, 22022113140000 is an apocalyptic number.

2022113140000 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 2022113140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521425940110).

2022113140000 is an abundant number, since it is smaller than the sum of its proper divisors (3020738740220).

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

2022113140000 is an equidigital number, since it uses as much as digits as its factorization.

2022113140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385112 (or 1385089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2022113140000 its reverse (413112202), we get a palindrome (2022526252202).

The spelling of 2022113140000 in words is "two trillion, twenty-two billion, one hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 20000 29200 36500 45625 58400 73000 91250 146000 182500 292000 365000 730000 1385009 1460000 2770018 5540036 6925045 11080072 13850090 22160144 27700180 34625225 44320288 55400360 69250450 101105657 110800720 138500900 173126125 202211314 221601440 277001800 346252250 404422628 505528285 554003600 692504500 808845256 865630625 1011056570 1108007200 1385009000 1617690512 1731261250 2022113140 2527641425 2770018000 3235381024 3462522500 4044226280 5055282850 5540036000 6925045000 8088452560 10110565700 12638207125 13850090000 16176905120 20221131400 25276414250 27700180000 40442262800 50552828500 63191035625 80884525600 101105657000 126382071250 202211314000 252764142500 404422628000 505528285000 1011056570000 2022113140000