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20001213220 = 2254217693089
BaseRepresentation
bin10010101000001010…
…100100101100100100
31220121220210220110211
4102220022210230210
5311430302310340
613104411225204
71305435335662
oct225012445444
956556726424
1020001213220
11853418858a
123a62448204
131b69a10c11
14d7a51dc32
157c0e0a5ea
hex4a82a4b24

20001213220 has 48 divisors (see below), whose sum is σ = 42170713200. Its totient is φ = 7968522240.

The previous prime is 20001213217. The next prime is 20001213223. The reversal of 20001213220 is 2231210002.

It is an interprime number because it is at equal distance from previous prime (20001213217) and next prime (20001213223).

It can be written as a sum of positive squares in 8 ways, for example, as 1091113024 + 18910100196 = 33032^2 + 137514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20001213220.

It is not an unprimeable number, because it can be changed into a prime (20001213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6473436 + ... + 6476524.

It is an arithmetic number, because the mean of its divisors is an integer number (878556525).

Almost surely, 220001213220 is an apocalyptic number.

20001213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001213220 is an abundant number, since it is smaller than the sum of its proper divisors (22169499980).

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

20001213220 is a wasteful number, since it uses less digits than its factorization.

20001213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20001213220 its reverse (2231210002), we get a palindrome (22232423222).

The spelling of 20001213220 in words is "twenty billion, one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 421 769 842 1538 1684 2105 3076 3089 3845 4210 6178 7690 8420 12356 15380 15445 30890 61780 323749 647498 1294996 1300469 1618745 2375441 2600938 3237490 4750882 5201876 6474980 6502345 9501764 11877205 13004690 23754410 26009380 47508820 1000060661 2000121322 4000242644 5000303305 10000606610 20001213220