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221002220211120 = 24325306947528071
BaseRepresentation
bin110010010000000000010110…
…110101001000101110110000
31001222111121100201020101210200
4302100000112311020232300
5212431400021333223440
62102011003544555200
764356612016513245
oct6220002665105660
91058447321211720
10221002220211120
116446657387a7a7
1220953864482b00
13964155c7c832a
143c807c91075cc
151a83b9554bc30
hexc90016d48bb0

221002220211120 has 60 divisors (see below), whose sum is σ = 742199122878096. Its totient is φ = 58933925389440.

The previous prime is 221002220211119. The next prime is 221002220211131. The reversal of 221002220211120 is 21112022200122.

It is a happy number.

221002220211120 is a `hidden beast` number, since 2 + 210 + 0 + 2 + 220 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 221002220211093 and 221002220211102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153473763316 + ... + 153473764755.

Almost surely, 2221002220211120 is an apocalyptic number.

221002220211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002220211120 is an abundant number, since it is smaller than the sum of its proper divisors (521196902666976).

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

221002220211120 is a wasteful number, since it uses less digits than its factorization.

221002220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306947528090 (or 306947528081 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002220211120 its reverse (21112022200122), we get a palindrome (242114242411242).

The spelling of 221002220211120 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 306947528071 613895056142 920842584213 1227790112284 1534737640355 1841685168426 2455580224568 2762527752639 3069475280710 3683370336852 4604212921065 4911160449136 5525055505278 6138950561420 7366740673704 9208425842130 11050111010556 12277901122840 13812638763195 14733481347408 18416851684260 22100222021112 24555802245680 27625277526390 36833703368520 44200444042224 55250555052780 73667406737040 110501110105560 221002220211120