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20021002012000 = 2553111923948567
BaseRepresentation
bin1001000110101100000001…
…01101101000010101100000
32121212222201001110020222001
410203112000231220111200
510111011003003341000
6110325304340053344
74134320044126363
oct443260055502540
977788631406861
1020021002012000
11641994a764550
1222b4255094254
13b22c84451582
144d30436560da
1524abd3a7e46a
hex123580b68560

20021002012000 has 192 divisors, whose sum is σ = 56487966312960. Its totient is φ = 6897187008000.

The previous prime is 20021002011971. The next prime is 20021002012003. The reversal of 20021002012000 is 21020012002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021002012003) 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 31 ways as a sum of consecutive naturals, for example, 11138284 + ... + 12810283.

It is an arithmetic number, because the mean of its divisors is an integer number (294208157880).

Almost surely, 220021002012000 is an apocalyptic number.

20021002012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021002012000 is an abundant number, since it is smaller than the sum of its proper divisors (36466964300960).

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

20021002012000 is a wasteful number, since it uses less digits than its factorization.

20021002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23948622 (or 23948604 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021002012000 its reverse (21020012002), we get a palindrome (20042022024002).

The spelling of 20021002012000 in words is "twenty trillion, twenty-one billion, two million, twelve thousand".