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10233205200000 = 2733551635813
BaseRepresentation
bin1001010011101001101010…
…0011111001010010000000
31100020021200122221212112000
42110322122203321102000
52320130101012400000
633433023005504000
72104216236005466
oct224723243712200
940207618855460
1010233205200000
113295972613472
12119331b872000
13592caa8ac123
1427540b1d8836
1512b2c85ba000
hex94e9a8f9480

10233205200000 has 768 divisors, whose sum is σ = 37988424835200. Its totient is φ = 2711646720000.

The previous prime is 10233205199941. The next prime is 10233205200007. The reversal of 10233205200000 is 250233201.

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 (10233205200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1760397094 + ... + 1760402906.

Almost surely, 210233205200000 is an apocalyptic number.

10233205200000 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 10233205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994212417600).

10233205200000 is an abundant number, since it is smaller than the sum of its proper divisors (27755219635200).

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

10233205200000 is an frugal number, since it uses more digits than its factorization.

10233205200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10233205200000 its reverse (250233201), we get a palindrome (10233455433201).

The spelling of 10233205200000 in words is "ten trillion, two hundred thirty-three billion, two hundred five million, two hundred thousand".