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10422424302000 = 243532936079767
BaseRepresentation
bin1001011110101010100011…
…1001011111000110110000
31100220101002200002012012220
42113222220321133012300
52331230111110131000
634055555015521040
72123665250563134
oct227525071370660
940811080065186
1010422424302000
113359141896407
121203b28989180
135a7aa44b86c9
1428063b5613c4
151311a032e1a0
hex97aa8e5f1b0

10422424302000 has 320 divisors, whose sum is σ = 33775582224384. Its totient is φ = 2764981171200.

The previous prime is 10422424301969. The next prime is 10422424302013. The reversal of 10422424302000 is 20342422401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1067101117 + ... + 1067110883.

Almost surely, 210422424302000 is an apocalyptic number.

10422424302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422424302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887791112192).

10422424302000 is an abundant number, since it is smaller than the sum of its proper divisors (23353157922384).

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

10422424302000 is a wasteful number, since it uses less digits than its factorization.

10422424302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10422424302000 its reverse (20342422401), we get a palindrome (10442766724401).

The spelling of 10422424302000 in words is "ten trillion, four hundred twenty-two billion, four hundred twenty-four million, three hundred two thousand".