Search a number
-
+
2000110112 = 2571113173673
BaseRepresentation
bin111011100110111…
…0100001000100000
312011101120010021022
41313031310020200
513044012010422
6530245145012
7100364440550
oct16715641040
95141503238
102000110112
11937012370
124799bb168
1325b4b5510
1414d8c7160
15ba8d5342
hex77374220

2000110112 has 192 divisors, whose sum is σ = 5599528704. Its totient is φ = 676823040.

The previous prime is 2000110067. The next prime is 2000110117. The reversal of 2000110112 is 2110110002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2000110112.

It is not an unprimeable number, because it can be changed into a prime (2000110117) 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, 542708 + ... + 546380.

It is an arithmetic number, because the mean of its divisors is an integer number (29164212).

Almost surely, 22000110112 is an apocalyptic number.

2000110112 is a gapful number since it is divisible by the number (22) 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 2000110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799764352).

2000110112 is an abundant number, since it is smaller than the sum of its proper divisors (3599418592).

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

2000110112 is a wasteful number, since it uses less digits than its factorization.

2000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2000110112 is about 44722.5906226372. The cubic root of 2000110112 is about 1259.9441715417.

Adding to 2000110112 its reverse (2110110002), we get a palindrome (4110220114).

The spelling of 2000110112 in words is "two billion, one hundred ten thousand, one hundred twelve".