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420314300010 = 232511424559899
BaseRepresentation
bin1100001110111001010…
…11110011111001101010
31111011220102111201210200
412013130223303321222
523341300430100020
6521031214053030
742236531413323
oct6073453637152
91434812451720
10420314300010
111522885126a0
12695624aa176
133083517c8c7
14164b410144a
15ae0004a590
hex61dcaf3e6a

420314300010 has 48 divisors (see below), whose sum is σ = 1192164199200. Its totient is φ = 101894375520.

The previous prime is 420314299973. The next prime is 420314300011. The reversal of 420314300010 is 10003413024.

420314300010 is a `hidden beast` number, since 42 + 0 + 314 + 300 + 0 + 10 = 666.

It is a super-2 number, since 2×4203143000102 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420314300011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212278960 + ... + 212280939.

It is an arithmetic number, because the mean of its divisors is an integer number (24836754150).

Almost surely, 2420314300010 is an apocalyptic number.

420314300010 is an abundant number, since it is smaller than the sum of its proper divisors (771849899190).

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

420314300010 is a wasteful number, since it uses less digits than its factorization.

420314300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424559923 (or 424559920 counting only the distinct ones).

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

Adding to 420314300010 its reverse (10003413024), we get a palindrome (430317713034).

The spelling of 420314300010 in words is "four hundred twenty billion, three hundred fourteen million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 424559899 849119798 1273679697 2122799495 2547359394 3821039091 4245598990 4670158889 6368398485 7642078182 9340317778 12736796970 14010476667 19105195455 23350794445 28020953334 38210390910 42031430001 46701588890 70052383335 84062860002 140104766670 210157150005 420314300010