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112211113221 = 32101129795177
BaseRepresentation
bin110100010000001001…
…1011011010100000101
3101201122012000011111100
41220200103123110011
53314302021110341
6123314333330313
711051460503454
oct1504023332405
9351565004440
10112211113221
1143652280209
12198b7336999
13a77361ca1c
145606b14b9b
152dbb2ac3b6
hex1a204db505

112211113221 has 24 divisors (see below), whose sum is σ = 163815424344. Its totient is φ = 74008857600.

The previous prime is 112211113211. The next prime is 112211113229. The reversal of 112211113221 is 122311112211.

It is a happy number.

112211113221 is a `hidden beast` number, since 11 + 221 + 111 + 322 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97054056225 + 15157056996 = 311535^2 + 123114^2 .

It is not a de Polignac number, because 112211113221 - 210 = 112211112197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112211113194 and 112211113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211113229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131385 + ... + 1226561.

It is an arithmetic number, because the mean of its divisors is an integer number (6825642681).

Almost surely, 2112211113221 is an apocalyptic number.

It is an amenable number.

112211113221 is a deficient number, since it is larger than the sum of its proper divisors (51604311123).

112211113221 is a wasteful number, since it uses less digits than its factorization.

112211113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96581 (or 96578 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 112211113221 its reverse (122311112211), we get a palindrome (234522225432).

The spelling of 112211113221 in words is "one hundred twelve billion, two hundred eleven million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 1297 3891 11673 95177 130997 285531 392991 856593 1178973 9612877 28838631 86515893 123444569 370333707 1111001121 12467901469 37403704407 112211113221