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220122011222001 = 32729233619835369
BaseRepresentation
bin110010000011001100100110…
…010010010011111111110001
31001212101110101102201211122100
4302003030212102103333301
5212322434334333101001
62100054353403331013
764236201432533010
oct6203144622237761
91055343342654570
10220122011222001
1164157247847349
1220831154220a69
1395a9555333165
143c4dd68364a77
151a6ad2a758586
hexc83326493ff1

220122011222001 has 96 divisors (see below), whose sum is σ = 378129896352000. Its totient is φ = 120729896146944.

The previous prime is 220122011221999. The next prime is 220122011222023. The reversal of 220122011222001 is 100222110221022.

It is a happy number.

220122011222001 is a `hidden beast` number, since 220 + 1 + 220 + 1 + 1 + 2 + 220 + 0 + 1 = 666.

220122011222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220122011222001 - 21 = 220122011221999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220122011222401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263085045 + ... + 263920413.

It is an arithmetic number, because the mean of its divisors is an integer number (3938853087000).

Almost surely, 2220122011222001 is an apocalyptic number.

220122011222001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220122011222001 is a deficient number, since it is larger than the sum of its proper divisors (158007885129999).

220122011222001 is a wasteful number, since it uses less digits than its factorization.

220122011222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836263 (or 836260 counting only the distinct ones).

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

Adding to 220122011222001 its reverse (100222110221022), we get a palindrome (320344121443023).

The spelling of 220122011222001 in words is "two hundred twenty trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, one".

Divisors: 1 3 7 9 21 29 63 87 203 233 261 609 619 699 1631 1827 1857 2097 4333 4893 5571 6757 12999 14679 17951 20271 38997 47299 53853 60813 125657 141897 144227 161559 376971 425691 432681 835369 1009589 1130913 1298043 2506107 3028767 4182583 5847583 7518321 9086301 12547749 17542749 24225701 29278081 37643247 52628247 72677103 87834243 169579907 194640977 218031309 263502729 508739721 517093411 583922931 1362486839 1526219163 1551280233 1751768793 3619653877 4087460517 4653840699 5644588333 10858961631 12262381551 14995708919 16933764999 32576884893 39512118331 44987126757 50801294997 104969962433 118536354993 120482764763 134961380271 314909887299 355609064979 361448294289 843379353341 944729661897 1084344882867 2530138060023 3494000178127 7590414180069 10482000534381 24458001246889 31446001603143 73374003740667 220122011222001