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10011112012000 = 255311947240259
BaseRepresentation
bin1001000110101110010011…
…0001100111100011100000
31022110001102121102221122101
42101223210301213203200
52303010224133341000
633143012534020144
72052164455031611
oct221534461474340
938401377387571
1010011112012000
11320a763818110
1211582791a7654
13578075340c58
1426877cc39c08
1512562a75ae6a
hex91ae4c678e0

10011112012000 has 192 divisors, whose sum is σ = 26861867585280. Its totient is φ = 3636545088000.

The previous prime is 10011112011961. The next prime is 10011112012007. The reversal of 10011112012000 is 21021111001.

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 (10011112012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41547871 + ... + 41788129.

It is an arithmetic number, because the mean of its divisors is an integer number (139905560340).

Almost surely, 210011112012000 is an apocalyptic number.

10011112012000 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 10011112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430933792640).

10011112012000 is an abundant number, since it is smaller than the sum of its proper divisors (16850755573280).

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

10011112012000 is a wasteful number, since it uses less digits than its factorization.

10011112012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241242 (or 241224 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011112012000 its reverse (21021111001), we get a palindrome (10032133123001).

Subtracting from 10011112012000 its reverse (21021111001), we obtain a palindrome (9990090900999).

The spelling of 10011112012000 in words is "ten trillion, eleven billion, one hundred twelve million, twelve thousand".