Search a number
-
+
110002202110000 = 245433737387511
BaseRepresentation
bin11001000000101111100010…
…001011100110100000110000
3112102111002220121012120010201
4121000233202023212200300
5103404234002220010000
61025542151454404544
732112253054244404
oct3100574213464060
9472432817176121
10110002202110000
1132060743381012
12104071b6b00754
13494c217591325
141d241c65ab104
15cab622be996a
hex640be22e6830

110002202110000 has 200 divisors, whose sum is σ = 267835808281184. Its totient is φ = 43752199680000.

The previous prime is 110002202109997. The next prime is 110002202110013. The reversal of 110002202110000 is 11202200011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1256966245 + ... + 1257053755.

Almost surely, 2110002202110000 is an apocalyptic number.

110002202110000 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 110002202110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133917904140592).

110002202110000 is an abundant number, since it is smaller than the sum of its proper divisors (157833606171184).

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

110002202110000 is an equidigital number, since it uses as much as digits as its factorization.

110002202110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88249 (or 88228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110002202110000 its reverse (11202200011), we get a palindrome (110013404310011).

The spelling of 110002202110000 in words is "one hundred ten trillion, two billion, two hundred two million, one hundred ten thousand".