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416120121 = 32192433451
BaseRepresentation
bin11000110011010…
…111110100111001
31002000000002111100
4120303113310321
51323011320441
6105142522013
713211651124
oct3063276471
91060002440
10416120121
111a398622a
12b7436309
1368296a31
143d39d3bb
15267e9cb6
hex18cd7d39

416120121 has 12 divisors (see below), whose sum is σ = 632697520. Its totient is φ = 262812600.

The previous prime is 416120069. The next prime is 416120129. The reversal of 416120121 is 121021614.

416120121 is a `hidden beast` number, since 41 + 612 + 0 + 12 + 1 = 666.

It is not a de Polignac number, because 416120121 - 26 = 416120057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416120094 and 416120103.

It is not an unprimeable number, because it can be changed into a prime (416120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216555 + ... + 1216896.

Almost surely, 2416120121 is an apocalyptic number.

It is an amenable number.

416120121 is a deficient number, since it is larger than the sum of its proper divisors (216577399).

416120121 is a wasteful number, since it uses less digits than its factorization.

416120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433476 (or 2433473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 416120121 is about 20399.0225501125. The cubic root of 416120121 is about 746.5740758867.

Adding to 416120121 its reverse (121021614), we get a palindrome (537141735).

The spelling of 416120121 in words is "four hundred sixteen million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 19 57 171 2433451 7300353 21901059 46235569 138706707 416120121