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430106121 = 323122232
BaseRepresentation
bin11001101000101…
…110011000001001
31002222022122200100
4121220232120021
51340101343441
6110402400013
713441561464
oct3150563011
91088278610
10430106121
11200869105
12100060009
136b152983
14411a02db
1527b5dcb6
hex19a2e609

430106121 has 27 divisors (see below), whose sum is σ = 644843277. Its totient is φ = 276243480.

The previous prime is 430106119. The next prime is 430106147. The reversal of 430106121 is 121601034.

It is a happy number.

The square root of 430106121 is 20739.

It is a perfect power (a square), and thus also a powerful number.

430106121 is a `hidden beast` number, since 43 + 0 + 10 + 612 + 1 = 666.

It is not a de Polignac number, because 430106121 - 21 = 430106119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 430106094 and 430106103.

It is not an unprimeable number, because it can be changed into a prime (430106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1928616 + ... + 1928838.

Almost surely, 2430106121 is an apocalyptic number.

430106121 is the 20739-th square number.

430106121 is the 10370-th centered octagonal number.

It is an amenable number.

430106121 is a deficient number, since it is larger than the sum of its proper divisors (214737156).

430106121 is an equidigital number, since it uses as much as digits as its factorization.

430106121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 430106121 is about 754.8463181490.

Multiplying 430106121 by its product of nonzero digits (144), we get a square (61935281424 = 2488682).

Adding to 430106121 its reverse (121601034), we get a palindrome (551707155).

The spelling of 430106121 in words is "four hundred thirty million, one hundred six thousand, one hundred twenty-one".

Divisors: 1 3 9 31 93 223 279 669 961 2007 2883 6913 8649 20739 49729 62217 149187 214303 447561 642909 1541599 1928727 4624797 13874391 47789569 143368707 430106121