Search a number
-
+
12210032200 = 235261050161
BaseRepresentation
bin10110101111100011…
…00100111001001000
31011111221022220100211
423113301210321020
5200001232012300
65335331210504
7611401363342
oct132761447110
934457286324
1012210032200
1151a6276a03
122449146a34
1311c7822232
1483b892292
154b6e0c4ba
hex2d7c64e48

12210032200 has 24 divisors (see below), whose sum is σ = 28388325330. Its totient is φ = 4884012800.

The previous prime is 12210032189. The next prime is 12210032201. The reversal of 12210032200 is 223001221.

12210032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7489517764 + 4720514436 = 86542^2 + 68706^2 .

It is not an unprimeable number, because it can be changed into a prime (12210032201) by changing a digit.

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, 30524881 + ... + 30525280.

Almost surely, 212210032200 is an apocalyptic number.

12210032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210032200 is an abundant number, since it is smaller than the sum of its proper divisors (16178293130).

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

12210032200 is a wasteful number, since it uses less digits than its factorization.

12210032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61050177 (or 61050168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12210032200 its reverse (223001221), we get a palindrome (12433033421).

The spelling of 12210032200 in words is "twelve billion, two hundred ten million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61050161 122100322 244200644 305250805 488401288 610501610 1221003220 1526254025 2442006440 3052508050 6105016100 12210032200