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42302222012000 = 2553231531300331
BaseRepresentation
bin10011001111001010000001…
…11010101000111001100000
312112210001102120210210110102
421213211000322220321200
521021034422313341000
6225545212243521532
711624143332212306
oct1147450072507140
9175701376723412
1042302222012000
111252a2a9566705
1248b25546892a8
131a7b10c0c8222
14a6361d238276
154d55a04c23d5
hex267940ea8e60

42302222012000 has 192 divisors, whose sum is σ = 108526741360128. Its totient is φ = 16174572480000.

The previous prime is 42302222011969. The next prime is 42302222012027. The reversal of 42302222012000 is 21022220324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140701835 + ... + 141002165.

It is an arithmetic number, because the mean of its divisors is an integer number (565243444584).

Almost surely, 242302222012000 is an apocalyptic number.

42302222012000 is a gapful number since it is divisible by the number (40) 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 42302222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54263370680064).

42302222012000 is an abundant number, since it is smaller than the sum of its proper divisors (66224519348128).

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

42302222012000 is a wasteful number, since it uses less digits than its factorization.

42302222012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301910 (or 301892 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42302222012000 its reverse (21022220324), we get a palindrome (42323244232324).

The spelling of 42302222012000 in words is "forty-two trillion, three hundred two billion, two hundred twenty-two million, twelve thousand".