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112122220221 = 3411191658841
BaseRepresentation
bin110100001101100000…
…0010100111010111101
3101201101222201221020000
41220123000110322331
53314111242021341
6123301440144513
711046331101264
oct1503300247275
9351358657200
10112122220221
1143607085620
1219891608139
13a75b09790b
1455d8db55db
152db359d8b6
hex1a1b014ebd

112122220221 has 40 divisors (see below), whose sum is σ = 183674608128. Its totient is φ = 67596984000.

The previous prime is 112122220211. The next prime is 112122220229. The reversal of 112122220221 is 122022221211.

It is a happy number.

112122220221 is a `hidden beast` number, since 11 + 212 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 112122220221 - 26 = 112122220157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112122220194 and 112122220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122220229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159240 + ... + 499601.

Almost surely, 2112122220221 is an apocalyptic number.

112122220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122220221 is a deficient number, since it is larger than the sum of its proper divisors (71552387907).

112122220221 is a wasteful number, since it uses less digits than its factorization.

112122220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659055 (or 659046 counting only the distinct ones).

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

Adding to 112122220221 its reverse (122022221211), we get a palindrome (234144441432).

The spelling of 112122220221 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 191 297 573 891 1719 2101 5157 6303 15471 18909 56727 170181 658841 1976523 5929569 7247251 17788707 21741753 53366121 65225259 125838631 195675777 377515893 587027331 1132547679 1384224941 3397643037 4152674823 10192929111 12458024469 37374073407 112122220221