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111222220221 = 32725318612557
BaseRepresentation
bin110011110010101011…
…1000110010110111101
3101122002021020012022200
41213211113012112331
53310240342021341
6123032250102113
711015122162500
oct1474527062675
9348067205280
10111222220221
1143195053272
121968011a939
13a6467a1238
145551659137
152d5e571db6
hex19e55c65bd

111222220221 has 72 divisors (see below), whose sum is σ = 190586521944. Its totient is φ = 62298512640.

The previous prime is 111222220189. The next prime is 111222220229. The reversal of 111222220221 is 122022222111.

It is a happy number.

111222220221 is a `hidden beast` number, since 1 + 1 + 1 + 222 + 220 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005524100 + 110216696121 = 31710^2 + 331989^2 .

It is not a de Polignac number, because 111222220221 - 25 = 111222220189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111222220194 and 111222220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111222220229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43495875 + ... + 43498431.

It is an arithmetic number, because the mean of its divisors is an integer number (2647035027).

Almost surely, 2111222220221 is an apocalyptic number.

It is an amenable number.

111222220221 is a deficient number, since it is larger than the sum of its proper divisors (79364301723).

111222220221 is a wasteful number, since it uses less digits than its factorization.

111222220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4481 counting only the distinct ones).

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

Adding to 111222220221 its reverse (122022222111), we get a palindrome (233244442332).

The spelling of 111222220221 in words is "one hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 1861 2557 2597 3339 5583 7671 7791 13027 16749 17899 23013 23373 39081 53697 91189 98633 117243 125293 135521 161091 273567 295899 375879 406563 690431 820701 887697 948647 1127637 1219689 2071293 2845941 4758577 4833017 6213879 6640529 8537823 14275731 14499051 19921587 33310039 42827193 43497153 59764761 99930117 233170273 252204581 299790351 699510819 756613743 1765432067 2098532457 2269841229 5296296201 12358024469 15888888603 37074073407 111222220221