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430120104100 = 225238933110477
BaseRepresentation
bin1100100001001010010…
…01111111000010100100
31112010012210212012012221
412100211021333002210
524021341221312400
6525332222322124
743034530363411
oct6204511770244
91463183765187
10430120104100
1115645a649415
126b43a429344
133173886584b
1416b64553108
15b2c5d48c1a
hex642527f0a4

430120104100 has 36 divisors (see below), whose sum is σ = 933393048084. Its totient is φ = 172042065280.

The previous prime is 430120104053. The next prime is 430120104101. The reversal of 430120104100 is 1401021034.

It can be written as a sum of positive squares in 6 ways, for example, as 84122041444 + 345998062656 = 290038^2 + 588216^2 .

It is not an unprimeable number, because it can be changed into a prime (430120104101) 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, 3838062 + ... + 3948538.

It is an arithmetic number, because the mean of its divisors is an integer number (25927584669).

Almost surely, 2430120104100 is an apocalyptic number.

It is an amenable number.

430120104100 is an abundant number, since it is smaller than the sum of its proper divisors (503272943984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430120104100 is a wasteful number, since it uses less digits than its factorization.

430120104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149424 (or 149417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 430120104100 its reverse (1401021034), we get a palindrome (431521125134).

The spelling of 430120104100 in words is "four hundred thirty billion, one hundred twenty million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 38933 77866 110477 155732 194665 220954 389330 441908 552385 778660 973325 1104770 1946650 2209540 2761925 3893300 5523850 11047700 4301201041 8602402082 17204804164 21506005205 43012010410 86024020820 107530026025 215060052050 430120104100