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42021313000 = 235342021313
BaseRepresentation
bin100111001000101010…
…100101100111101000
311000110112111212122221
4213020222211213220
51142024424004000
631145422323424
73015220160422
oct471052454750
9130415455587
1042021313000
1116903a32457
128188a29574
133c68a7c864
142068c13812
15115e1a961a
hex9c8aa59e8

42021313000 has 32 divisors (see below), whose sum is σ = 98329874760. Its totient is φ = 16808524800.

The previous prime is 42021312989. The next prime is 42021313003. The reversal of 42021313000 is 31312024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11430603396 + 30590709604 = 106914^2 + 174902^2 .

It is not an unprimeable number, because it can be changed into a prime (42021313003) 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 7 ways as a sum of consecutive naturals, for example, 21009657 + ... + 21011656.

Almost surely, 242021313000 is an apocalyptic number.

42021313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42021313000 is an abundant number, since it is smaller than the sum of its proper divisors (56308561760).

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

42021313000 is a wasteful number, since it uses less digits than its factorization.

42021313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42021334 (or 42021320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42021313000 its reverse (31312024), we get a palindrome (42052625024).

The spelling of 42021313000 in words is "forty-two billion, twenty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42021313 84042626 168085252 210106565 336170504 420213130 840426260 1050532825 1680852520 2101065650 4202131300 5252664125 8404262600 10505328250 21010656500 42021313000