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434124000121 = 72323291115771
BaseRepresentation
bin1100101000100111100…
…11101000101101111001
31112111112211220012000011
412110103303220231321
524103041221000441
6531233411541521
743235666054560
oct6242363505571
91474484805004
10434124000121
11158124753799
12701772ba8a1
1331c2621c6a6
14170241dcbd7
15b45c5dd581
hex6513ce8b79

434124000121 has 16 divisors (see below), whose sum is σ = 517739793408. Its totient is φ = 355909395600.

The previous prime is 434124000119. The next prime is 434124000157. The reversal of 434124000121 is 121000421434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434124000121 - 21 = 434124000119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434124000092 and 434124000101.

It is not an unprimeable number, because it can be changed into a prime (434124003121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691966 + ... + 3807736.

It is an arithmetic number, because the mean of its divisors is an integer number (32358737088).

Almost surely, 2434124000121 is an apocalyptic number.

It is an amenable number.

434124000121 is a deficient number, since it is larger than the sum of its proper divisors (83615793287).

434124000121 is a wasteful number, since it uses less digits than its factorization.

434124000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139092.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 434124000121 its reverse (121000421434), we get a palindrome (555124421555).

The spelling of 434124000121 in words is "four hundred thirty-four billion, one hundred twenty-four million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 23 161 23291 115771 163037 535693 810397 2662733 3749851 18639131 2696422361 18874956527 62017714303 434124000121