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413020232010 = 2345509901521
BaseRepresentation
bin1100000001010011110…
…11001001100101001010
31110111002002102200120000
412000221323021211022
523231331134411020
6513423332543430
741561012022051
oct6005173114512
91414062380500
10413020232010
1114a185176421
1268067781b76
132cc41c74c39
1415dc14b7398
15ab249e5090
hex6029ec994a

413020232010 has 40 divisors (see below), whose sum is σ = 1110565514916. Its totient is φ = 110138728320.

The previous prime is 413020231999. The next prime is 413020232071. The reversal of 413020232010 is 10232020314.

413020232010 is a `hidden beast` number, since 4 + 130 + 202 + 320 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386457425649 + 26562806361 = 621657^2 + 162981^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 254949951 + ... + 254951570.

Almost surely, 2413020232010 is an apocalyptic number.

413020232010 is an abundant number, since it is smaller than the sum of its proper divisors (697545282906).

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

413020232010 is a wasteful number, since it uses less digits than its factorization.

413020232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509901540 (or 509901531 counting only the distinct ones).

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

Adding to 413020232010 its reverse (10232020314), we get a palindrome (423252252324).

The spelling of 413020232010 in words is "four hundred thirteen billion, twenty million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 509901521 1019803042 1529704563 2549507605 3059409126 4589113689 5099015210 7648522815 9178227378 13767341067 15297045630 22945568445 27534682134 41302023201 45891136890 68836705335 82604046402 137673410670 206510116005 413020232010