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220022220102012 = 223210195997770693
BaseRepresentation
bin110010000001101111101010…
…010001011001100101111100
31001212000220210211010200220100
4302001233222101121211330
5212314321001321231022
62055540451301321100
764226036503155066
oct6201575221314574
91055026724120810
10220022220102012
1164118999309959
1220815944406190
1395a0010b99873
143c491bcd58736
151a68439a2e1ac
hexc81bea45997c

220022220102012 has 36 divisors (see below), whose sum is σ = 556713075817080. Its totient is φ = 73268766773472.

The previous prime is 220022220101969. The next prime is 220022220102017. The reversal of 220022220102012 is 210201022220022.

220022220102012 is a `hidden beast` number, since 220 + 0 + 22 + 220 + 1 + 0 + 201 + 2 = 666.

220022220102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022220102017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2998848663 + ... + 2998922030.

It is an arithmetic number, because the mean of its divisors is an integer number (15464252106030).

Almost surely, 2220022220102012 is an apocalyptic number.

It is an amenable number.

220022220102012 is an abundant number, since it is smaller than the sum of its proper divisors (336690855715068).

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

220022220102012 is a wasteful number, since it uses less digits than its factorization.

220022220102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997771722 (or 5997771717 counting only the distinct ones).

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

Adding to 220022220102012 its reverse (210201022220022), we get a palindrome (430223242322034).

The spelling of 220022220102012 in words is "two hundred twenty trillion, twenty-two billion, two hundred twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1019 2038 3057 4076 6114 9171 12228 18342 36684 5997770693 11995541386 17993312079 23991082772 35986624158 53979936237 71973248316 107959872474 215919744948 6111728336167 12223456672334 18335185008501 24446913344668 36670370017002 55005555025503 73340740034004 110011110051006 220022220102012