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430023201012 = 223237322840241
BaseRepresentation
bin1100100000111110110…
…00010101000011110100
31112002222001112000011200
412100133120111003310
524021141414413022
6525314441332500
743032242620206
oct6203730250364
91462861460150
10430023201012
1115640a982719
126b411a97130
1331721767842
1416b5572a776
15b2bc5a6bac
hex641f6150f4

430023201012 has 36 divisors (see below), whose sum is σ = 1116381556836. Its totient is φ = 139466983680.

The previous prime is 430023200993. The next prime is 430023201017. The reversal of 430023201012 is 210102320034.

430023201012 is a `hidden beast` number, since 430 + 0 + 23 + 201 + 0 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 410363235216 + 19659965796 = 640596^2 + 140214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430023201017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161418789 + ... + 161421452.

It is an arithmetic number, because the mean of its divisors is an integer number (31010598801).

Almost surely, 2430023201012 is an apocalyptic number.

It is an amenable number.

430023201012 is an abundant number, since it is smaller than the sum of its proper divisors (686358355824).

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

430023201012 is a wasteful number, since it uses less digits than its factorization.

430023201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322840288 (or 322840283 counting only the distinct ones).

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

Adding to 430023201012 its reverse (210102320034), we get a palindrome (640125521046).

The spelling of 430023201012 in words is "four hundred thirty billion, twenty-three million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 322840241 645680482 968520723 1291360964 1937041446 2905562169 3874082892 5811124338 11622248676 11945088917 23890177834 35835266751 47780355668 71670533502 107505800253 143341067004 215011600506 430023201012