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20010200112000 = 2732537107185527
BaseRepresentation
bin1001000110010111111001…
…10111101001101110000000
32121211221211020202212211200
410203023330313221232000
510110321342212041000
6110320320425541200
74133455261365510
oct443137467515600
977757736685750
1020010200112000
11641530733116a
1222b213b644800
13b21c52597477
144d26dabd1840
1524a7a05c1500
hex1232fcde9b80

20010200112000 has 768 divisors, whose sum is σ = 82895572730880. Its totient is φ = 4530990182400.

The previous prime is 20010200111963. The next prime is 20010200112037. The reversal of 20010200112000 is 21100201002.

It is an interprime number because it is at equal distance from previous prime (20010200111963) and next prime (20010200112037).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 107763237 + ... + 107948763.

It is an arithmetic number, because the mean of its divisors is an integer number (107936943660).

Almost surely, 220010200112000 is an apocalyptic number.

20010200112000 is a gapful number since it is divisible by the number (20) 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 20010200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41447786365440).

20010200112000 is an abundant number, since it is smaller than the sum of its proper divisors (62885372618880).

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

20010200112000 is a wasteful number, since it uses less digits than its factorization.

20010200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185676 (or 185651 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010200112000 its reverse (21100201002), we get a palindrome (20031300313002).

The spelling of 20010200112000 in words is "twenty trillion, ten billion, two hundred million, one hundred twelve thousand".