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110202112020000 = 253547111337101491
BaseRepresentation
bin11001000011101001101101…
…101111011000111000100000
3112110012012220122222012101110
4121003221231233120320200
5103421022411134120000
61030214052405503320
732132561032402350
oct3103515557307040
9473165818865343
10110202112020000
11321284a92aa270
1210439aa8411b40
1349650260295c0
141d2db4c71ab60
15cb19232c5850
hex643a6dbd8e20

110202112020000 has 3840 divisors, whose sum is σ = 504428614373376. Its totient is φ = 20321280000000.

The previous prime is 110202112019977. The next prime is 110202112020001. The reversal of 110202112020000 is 20211202011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110202112020001) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 224444219755 + ... + 224444220245.

Almost surely, 2110202112020000 is an apocalyptic number.

110202112020000 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 110202112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252214307186688).

110202112020000 is an abundant number, since it is smaller than the sum of its proper divisors (394226502353376).

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

110202112020000 is a wasteful number, since it uses less digits than its factorization.

110202112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110202112020000 its reverse (20211202011), we get a palindrome (110222323222011).

The spelling of 110202112020000 in words is "one hundred ten trillion, two hundred two billion, one hundred twelve million, twenty thousand".