Search a number
-
+
11110210002 = 23237127913043
BaseRepresentation
bin10100101100011100…
…00101100111010010
31001200021211010221100
422112032011213102
5140223203210002
65034242205230
7542215140543
oct122616054722
931607733840
1011110210002
114791473241
1221a0953816
131080a04478
1477579c4ca
154505ae11c
hex2963859d2

11110210002 has 48 divisors (see below), whose sum is σ = 24743946240. Its totient is φ = 3600218016.

The previous prime is 11110209997. The next prime is 11110210019. The reversal of 11110210002 is 20001201111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845293 + ... + 858335.

It is an arithmetic number, because the mean of its divisors is an integer number (515498880).

Almost surely, 211110210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371973120).

11110210002 is an abundant number, since it is smaller than the sum of its proper divisors (13633736238).

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

11110210002 is a wasteful number, since it uses less digits than its factorization.

11110210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14367 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110210002 its reverse (20001201111), we get a palindrome (31111411113).

It can be divided in two parts, 111102 and 10002, that added together give a square (121104 = 3482).

The spelling of 11110210002 in words is "eleven billion, one hundred ten million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1279 2558 3837 7674 11511 13043 23022 26086 39129 47323 78258 94646 117387 141969 234774 283938 425907 482591 851814 965182 1447773 2895546 4343319 8686638 16681997 33363994 50045991 100091982 150137973 300275946 617233889 1234467778 1851701667 3703403334 5555105001 11110210002