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430100013204 = 223211947222589
BaseRepresentation
bin1100100001000111111…
…01010110000010010100
31112010011102001110200200
412100203331112002110
524021321100410304
6525330223540500
743034164535361
oct6204375260224
91463142043620
10430100013204
1115644a276874
126b43375a730
133173464cc44
1416b61a03468
15b2c41cae39
hex6423f56094

430100013204 has 18 divisors (see below), whose sum is σ = 1087197255690. Its totient is φ = 143366671056.

The previous prime is 430100013121. The next prime is 430100013223. The reversal of 430100013204 is 402310001034.

430100013204 is a `hidden beast` number, since 430 + 100 + 0 + 132 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406980202500 + 23119810704 = 637950^2 + 152052^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5973611259 + ... + 5973611330.

Almost surely, 2430100013204 is an apocalyptic number.

It is an amenable number.

430100013204 is an abundant number, since it is smaller than the sum of its proper divisors (657097242486).

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

430100013204 is a wasteful number, since it uses less digits than its factorization.

430100013204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947222599 (or 11947222594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 430100013204 its reverse (402310001034), we get a palindrome (832410014238).

The spelling of 430100013204 in words is "four hundred thirty billion, one hundred million, thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11947222589 23894445178 35841667767 47788890356 71683335534 107525003301 143366671068 215050006602 430100013204