Search a number
-
+
20122000000 = 275610061
BaseRepresentation
bin10010101111010111…
…010101101010000000
31220221100002111210021
4102233113111222000
5312202213000000
613124404143224
71311433115014
oct225727255200
956840074707
1020122000000
118596387473
123a96997b14
131b88a51c9b
14d8c5a2544
157cb81911a
hex4af5d5a80

20122000000 has 112 divisors (see below), whose sum is σ = 50112835110. Its totient is φ = 8048000000.

The previous prime is 20121999991. The next prime is 20122000007. The reversal of 20122000000 is 22102.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 9995200576 + 10126799424 = 99976^2 + 100632^2 .

It is not an unprimeable number, because it can be changed into a prime (20122000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1994970 + ... + 2005030.

Almost surely, 220122000000 is an apocalyptic number.

20122000000 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 20122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056417555).

20122000000 is an abundant number, since it is smaller than the sum of its proper divisors (29990835110).

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

20122000000 is an frugal number, since it uses more digits than its factorization.

20122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20122000000 its reverse (22102), we get a palindrome (20122022102).

The spelling of 20122000000 in words is "twenty billion, one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 10061 12500 15625 16000 20000 20122 25000 31250 40000 40244 50000 50305 62500 80000 80488 100000 100610 125000 160976 200000 201220 250000 251525 321952 400000 402440 500000 503050 643904 804880 1000000 1006100 1257625 1287808 1609760 2000000 2012200 2515250 3219520 4024400 5030500 6288125 6439040 8048800 10061000 12576250 16097600 20122000 25152500 31440625 32195200 40244000 50305000 62881250 80488000 100610000 125762500 157203125 160976000 201220000 251525000 314406250 402440000 503050000 628812500 804880000 1006100000 1257625000 2012200000 2515250000 4024400000 5030500000 10061000000 20122000000