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224120101329 = 3224902233481
BaseRepresentation
bin1101000010111010011…
…0010101100111010001
3210102111022111210020200
43100232212111213101
512132444221220304
6250543115325413
722122622300065
oct3205646254721
9712438453220
10224120101329
1187059a55343
1237529450869
1318199479597
14abc1661aa5
155c6ac8ae39
hex342e9959d1

224120101329 has 6 divisors (see below), whose sum is σ = 323729035266. Its totient is φ = 149413400880.

The previous prime is 224120101291. The next prime is 224120101357. The reversal of 224120101329 is 923101021422.

224120101329 is a `hidden beast` number, since 224 + 12 + 0 + 101 + 329 = 666.

224120101329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 219417296400 + 4702804929 = 468420^2 + 68577^2 .

It is not a de Polignac number, because 224120101329 - 29 = 224120100817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224120100329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12451116732 + ... + 12451116749.

It is an arithmetic number, because the mean of its divisors is an integer number (53954839211).

Almost surely, 2224120101329 is an apocalyptic number.

It is an amenable number.

224120101329 is a deficient number, since it is larger than the sum of its proper divisors (99608933937).

224120101329 is a wasteful number, since it uses less digits than its factorization.

224120101329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24902233487 (or 24902233484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 224120101329 in words is "two hundred twenty-four billion, one hundred twenty million, one hundred one thousand, three hundred twenty-nine".

Divisors: 1 3 9 24902233481 74706700443 224120101329