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110002200000 = 263557112381
BaseRepresentation
bin110011001110010100…
…1000101110111000000
3101111221020112202012120
41212130221011313000
53300241030400000
6122311224524240
710642646162310
oct1463451056700
9344836482176
10110002200000
1142719412aa0
121939b620680
13a4b0aba394
1454775d7440
152cdc3ce6a0
hex199ca45dc0

110002200000 has 672 divisors, whose sum is σ = 453741958656. Its totient is φ = 22848000000.

The previous prime is 110002199977. The next prime is 110002200023. The reversal of 110002200000 is 2200011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110002199977) and next prime (110002200023).

It is a tau number, because it is divible by the number of its divisors (672).

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 zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46198810 + ... + 46201190.

It is an arithmetic number, because the mean of its divisors is an integer number (675211248).

Almost surely, 2110002200000 is an apocalyptic number.

110002200000 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 110002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226870979328).

110002200000 is an abundant number, since it is smaller than the sum of its proper divisors (343739758656).

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

110002200000 is an equidigital number, since it uses as much as digits as its factorization.

110002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2409 counting only the distinct ones).

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

Adding to 110002200000 its reverse (2200011), we get a palindrome (110004400011).

The spelling of 110002200000 in words is "one hundred ten billion, two million, two hundred thousand".