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20114244020 = 22513181427417
BaseRepresentation
bin10010101110111001…
…110000000110110100
31220220210111110120202
4102232321300012310
5312143221302040
613123530020032
71311310152563
oct225671600664
956823443522
1020114244020
118591a6a272
123a94277618
131b87267950
14d8b543bda
157cacd6015
hex4aee701b4

20114244020 has 48 divisors (see below), whose sum is σ = 45740564688. Its totient is φ = 7385748480.

The previous prime is 20114244019. The next prime is 20114244049. The reversal of 20114244020 is 2044241102.

It can be written as a sum of positive squares in 8 ways, for example, as 5589655696 + 14524588324 = 74764^2 + 120518^2 .

It is a super-2 number, since 2×201142440202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20114243983 and 20114244001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166649 + ... + 260768.

It is an arithmetic number, because the mean of its divisors is an integer number (952928431).

Almost surely, 220114244020 is an apocalyptic number.

20114244020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114244020 is an abundant number, since it is smaller than the sum of its proper divisors (25626320668).

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

20114244020 is a wasteful number, since it uses less digits than its factorization.

20114244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427620 (or 427618 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20114244020 its reverse (2044241102), we get a palindrome (22158485122).

The spelling of 20114244020 in words is "twenty billion, one hundred fourteen million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 9412 11765 23530 47060 427417 854834 1709668 2137085 4274170 5556421 8548340 11112842 22225684 27782105 55564210 77362477 111128420 154724954 309449908 386812385 773624770 1005712201 1547249540 2011424402 4022848804 5028561005 10057122010 20114244020