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20110404420 = 22325757314753
BaseRepresentation
bin10010101110101011…
…000110101101000100
31220220112021101122100
4102232223012231010
5312141230420140
613123311432100
71311232421451
oct225653065504
956815241570
1020110404420
11858a887547
123a92b25630
131b865220b2
14d8ac24828
157ca7c8530
hex4aeac6b44

20110404420 has 72 divisors (see below), whose sum is σ = 61013750616. Its totient is φ = 5361702912.

The previous prime is 20110404329. The next prime is 20110404427. The reversal of 20110404420 is 2440401102.

20110404420 is a `hidden beast` number, since 201 + 1 + 0 + 40 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8085966084 + 12024438336 = 89922^2 + 109656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20110404393 and 20110404402.

It is not an unprimeable number, because it can be changed into a prime (20110404427) 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 23 ways as a sum of consecutive naturals, for example, 1355764 + ... + 1370516.

It is an arithmetic number, because the mean of its divisors is an integer number (847413203).

Almost surely, 220110404420 is an apocalyptic number.

20110404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110404420 is an abundant number, since it is smaller than the sum of its proper divisors (40903346196).

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

20110404420 is a wasteful number, since it uses less digits than its factorization.

20110404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22336 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20110404420 its reverse (2440401102), we get a palindrome (22550805522).

The spelling of 20110404420 in words is "twenty billion, one hundred ten million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7573 14753 15146 22719 29506 30292 37865 44259 45438 59012 68157 73765 75730 88518 90876 113595 132777 136314 147530 151460 177036 221295 227190 265554 272628 295060 340785 442590 454380 531108 663885 681570 885180 1327770 1363140 2655540 111724469 223448938 335173407 446897876 558622345 670346814 1005520221 1117244690 1340693628 1675867035 2011040442 2234489380 3351734070 4022080884 5027601105 6703468140 10055202210 20110404420