Search a number
-
+
21131442222220 = 225113710150950497
BaseRepresentation
bin1001100111000000011000…
…00110110111010010001100
32202211010221112121122201101
410303200030012313102030
510232204143202102340
6112535352303352444
74310460560152531
oct463401406672214
982733845548641
1021131442222220
116807881269a50
1224534b92b2724
13ba38c0196a15
14530aa5512d88
15269a25d95c9a
hex13380c1b748c

21131442222220 has 192 divisors, whose sum is σ = 50310502945920. Its totient is φ = 7387766784000.

The previous prime is 21131442222131. The next prime is 21131442222283. The reversal of 21131442222220 is 2222224413112.

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 63 ways as a sum of consecutive naturals, for example, 418444012 + ... + 418494508.

It is an arithmetic number, because the mean of its divisors is an integer number (262033869510).

Almost surely, 221131442222220 is an apocalyptic number.

21131442222220 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 21131442222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155251472960).

21131442222220 is an abundant number, since it is smaller than the sum of its proper divisors (29179060723700).

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

21131442222220 is a wasteful number, since it uses less digits than its factorization.

21131442222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51162 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21131442222220 its reverse (2222224413112), we get a palindrome (23353666635332).

The spelling of 21131442222220 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred forty-two million, two hundred twenty-two thousand, two hundred twenty".