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110002002000 = 24353111798041
BaseRepresentation
bin110011001110010100…
…0010101100001010000
3101111221020011200121020
41212130220111201100
53300241003031000
6122311220355440
710642644406122
oct1463450254120
9344836150536
10110002002000
1142719298260
121939b545b80
13a4b0a4b217
145477585212
152cdc390ba0
hex199ca15850

110002002000 has 320 divisors, whose sum is σ = 409649280768. Its totient is φ = 25098240000.

The previous prime is 110002001911. The next prime is 110002002001. The reversal of 110002002000 is 200200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 110002002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072980 + ... + 1171020.

Almost surely, 2110002002000 is an apocalyptic number.

110002002000 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 110002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204824640384).

110002002000 is an abundant number, since it is smaller than the sum of its proper divisors (299647278768).

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

110002002000 is a wasteful number, since it uses less digits than its factorization.

110002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98095 (or 98079 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 110002002000 its reverse (200200011), we get a palindrome (110202202011).

The spelling of 110002002000 in words is "one hundred ten billion, two million, two thousand".