Search a number
-
+
111002210000 = 2454112773643
BaseRepresentation
bin110011101100000111…
…1110100111011010000
3101121111221020112000222
41213120033310323100
53304313031210000
6122554350332212
711006511134333
oct1473017647320
9347457215028
10111002210000
1143091943340
121961a4ba068
13a61002bc86
14553034861a
152d4a0b3a85
hex19d83f4ed0

111002210000 has 200 divisors, whose sum is σ = 294318213024. Its totient is φ = 40207680000.

The previous prime is 111002209999. The next prime is 111002210017. The reversal of 111002210000 is 12200111.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 111002210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30468179 + ... + 30471821.

Almost surely, 2111002210000 is an apocalyptic number.

111002210000 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 111002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147159106512).

111002210000 is an abundant number, since it is smaller than the sum of its proper divisors (183316003024).

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

111002210000 is a wasteful number, since it uses less digits than its factorization.

111002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3938 counting only the distinct ones).

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

Adding to 111002210000 its reverse (12200111), we get a palindrome (111014410111).

The spelling of 111002210000 in words is "one hundred eleven billion, two million, two hundred ten thousand".