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20410012220 = 22513891316733
BaseRepresentation
bin10011000000100010…
…000001001000111100
31221200102001001021112
4103000202001020330
5313244430342340
613213133221152
71321531145543
oct230042011074
957612031245
1020410012220
118723a132a4
123b573317b8
131c03613510
14db893515a
157e6c5b065
hex4c088123c

20410012220 has 96 divisors (see below), whose sum is σ = 47039952960. Its totient is φ = 7393351680.

The previous prime is 20410012193. The next prime is 20410012247. The reversal of 20410012220 is 2221001402.

It is an interprime number because it is at equal distance from previous prime (20410012193) and next prime (20410012247).

It is a junction number, because it is equal to n+sod(n) for n = 20410012195 and 20410012204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3027974 + ... + 3034706.

It is an arithmetic number, because the mean of its divisors is an integer number (489999510).

Almost surely, 220410012220 is an apocalyptic number.

20410012220 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 20410012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23519976480).

20410012220 is an abundant number, since it is smaller than the sum of its proper divisors (26629940740).

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

20410012220 is a wasteful number, since it uses less digits than its factorization.

20410012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20410012220 its reverse (2221001402), we get a palindrome (22631013622).

The spelling of 20410012220 in words is "twenty billion, four hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 131 178 260 262 356 445 524 655 890 1157 1310 1703 1780 2314 2620 3406 4628 5785 6733 6812 8515 11570 11659 13466 17030 23140 23318 26932 33665 34060 46636 58295 67330 87529 116590 134660 151567 175058 233180 303134 350116 437645 599237 606268 757835 875290 882023 1198474 1515670 1750580 1764046 2396948 2996185 3031340 3528092 4410115 5992370 7790081 8820230 11466299 11984740 15580162 17640460 22932598 31160324 38950405 45865196 57331495 77900810 78500047 114662990 155801620 157000094 229325980 314000188 392500235 785000470 1020500611 1570000940 2041001222 4082002444 5102503055 10205006110 20410012220