Search a number
-
+
20221000011212 = 227112131076436673
BaseRepresentation
bin1001001100100000100011…
…00001011100110111001100
32122121002221020222021220012
410212100101201130313030
510122300102000324322
6111001222115212352
74154630142101240
oct446202141346714
978532836867805
1020221000011212
116496750389500
122326b6bba70b8
13b38aa821cb40
144dc9b7376420
15250edbc5aae2
hex12641185cdcc

20221000011212 has 288 divisors, whose sum is σ = 48402024685056. Its totient is φ = 7192040232960.

The previous prime is 20221000011211. The next prime is 20221000011221. The reversal of 20221000011212 is 21211000012202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20221000011211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3030267908 + ... + 3030274580.

It is an arithmetic number, because the mean of its divisors is an integer number (168062585712).

Almost surely, 220221000011212 is an apocalyptic number.

20221000011212 is a gapful number since it is divisible by the number (22) 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 20221000011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24201012342528).

20221000011212 is an abundant number, since it is smaller than the sum of its proper divisors (28181024673844).

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

20221000011212 is a wasteful number, since it uses less digits than its factorization.

20221000011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20221000011212 its reverse (21211000012202), we get a palindrome (41432000023414).

The spelling of 20221000011212 in words is "twenty trillion, two hundred twenty-one billion, eleven thousand, two hundred twelve".