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224013122332101 = 32107232620064727
BaseRepresentation
bin110010111011110100011110…
…100101001110010111000101
31002101011110000122202210201100
4302323310132211032113011
5213330212333304111401
62112234112510450313
765120262000333534
oct6273643645162705
91071143018683640
10224013122332101
1165417482601313
122115b2b1503999
1397cc467ba259b
143d46415cb231b
151ad7166e48b86
hexcbbd1e94e5c5

224013122332101 has 12 divisors (see below), whose sum is σ = 326598570878112. Its totient is φ = 147946361165736.

The previous prime is 224013122332093. The next prime is 224013122332117. The reversal of 224013122332101 is 101233221310422.

224013122332101 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 312 + 2 + 332 + 10 + 1 = 666.

It is not a de Polignac number, because 224013122332101 - 23 = 224013122332093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013122332141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116310031401 + ... + 116310033326.

It is an arithmetic number, because the mean of its divisors is an integer number (27216547573176).

Almost surely, 2224013122332101 is an apocalyptic number.

It is an amenable number.

224013122332101 is a deficient number, since it is larger than the sum of its proper divisors (102585448546011).

224013122332101 is a wasteful number, since it uses less digits than its factorization.

224013122332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232620064840 (or 232620064837 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 224013122332101 its reverse (101233221310422), we get a palindrome (325246343642523).

The spelling of 224013122332101 in words is "two hundred twenty-four trillion, thirteen billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 107 321 963 232620064727 697860194181 2093580582543 24890346925789 74671040777367 224013122332101