Search a number
-
+
12322220200 = 235261611101
BaseRepresentation
bin10110111100111011…
…00010100010101000
31011210202102122100221
423132131202202220
5200213442021300
65354415535424
7614233100143
oct133635424250
934722378327
1012322220200
115253632464
12247a82a574
131214b42474
1484c73705a
154c1bbd31a
hex2de7628a8

12322220200 has 24 divisors (see below), whose sum is σ = 28649162430. Its totient is φ = 4928888000.

The previous prime is 12322220179. The next prime is 12322220221. The reversal of 12322220200 is 202222321.

12322220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12322220179) and next prime (12322220221).

It can be written as a sum of positive squares in 3 ways, for example, as 8097480196 + 4224740004 = 89986^2 + 64998^2 .

It is a super-2 number, since 2×123222202002 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 30805351 + ... + 30805750.

Almost surely, 212322220200 is an apocalyptic number.

12322220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322220200 is an abundant number, since it is smaller than the sum of its proper divisors (16326942230).

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

12322220200 is a wasteful number, since it uses less digits than its factorization.

12322220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61611117 (or 61611108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12322220200 its reverse (202222321), we get a palindrome (12524442521).

The spelling of 12322220200 in words is "twelve billion, three hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61611101 123222202 246444404 308055505 492888808 616111010 1232222020 1540277525 2464444040 3080555050 6161110100 12322220200