Search a number
-
+
20113431040 = 29528032
BaseRepresentation
bin10010101110110110…
…101001101000000000
31220220201222011101101
4102232312221220000
5312143014243130
613123500344144
71311300225433
oct225666515000
956821864341
1020113431040
11859156448a
123a93b45054
131b870418b1
14d8b3b181a
157cabc51ca
hex4aeda9a00

20113431040 has 60 divisors (see below), whose sum is σ = 48242304594. Its totient is φ = 8042502144.

The previous prime is 20113431001. The next prime is 20113431043. The reversal of 20113431040 is 4013431102.

It can be written as a sum of positive squares in only one way, i.e., 18102087936 + 2011343104 = 134544^2 + 44848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20113430999 and 20113431017.

It is not an unprimeable number, because it can be changed into a prime (20113431043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7174279 + ... + 7177081.

Almost surely, 220113431040 is an apocalyptic number.

20113431040 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 20113431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24121152297).

20113431040 is an abundant number, since it is smaller than the sum of its proper divisors (28128873554).

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

20113431040 is an frugal number, since it uses more digits than its factorization.

20113431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20113431040 its reverse (4013431102), we get a palindrome (24126862142).

The spelling of 20113431040 in words is "twenty billion, one hundred thirteen million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 2803 5606 11212 14015 22424 28030 44848 56060 89696 112120 179392 224240 358784 448480 717568 896960 1435136 1793920 3587840 7175680 7856809 15713618 31427236 39284045 62854472 78568090 125708944 157136180 251417888 314272360 502835776 628544720 1005671552 1257089440 2011343104 2514178880 4022686208 5028357760 10056715520 20113431040