Search a number
-
+
12202120233 = 332351192229
BaseRepresentation
bin10110101110100110…
…11001010000101001
31011111101102221012000
423113103121100221
5144442220321413
65334445441213
7611244211362
oct132723312051
934441387160
1012202120233
1151a1862596
122446570209
1311c5cb1bb4
1483a7d2b69
154b6398073
hex2d74d9429

12202120233 has 16 divisors (see below), whose sum is σ = 18084998400. Its totient is φ = 8131244400.

The previous prime is 12202120201. The next prime is 12202120237. The reversal of 12202120233 is 33202120221.

12202120233 is a `hidden beast` number, since 1 + 220 + 212 + 0 + 233 = 666.

12202120233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12202120233 - 25 = 12202120201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12202120237) 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 15 ways as a sum of consecutive naturals, for example, 32638 + ... + 159591.

It is an arithmetic number, because the mean of its divisors is an integer number (1130312400).

Almost surely, 212202120233 is an apocalyptic number.

It is an amenable number.

12202120233 is a deficient number, since it is larger than the sum of its proper divisors (5882878167).

12202120233 is a wasteful number, since it uses less digits than its factorization.

12202120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194589 (or 194583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12202120233 its reverse (33202120221), we get a palindrome (45404240454).

The spelling of 12202120233 in words is "twelve billion, two hundred two million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 2351 7053 21159 63477 192229 576687 1730061 5190183 451930379 1355791137 4067373411 12202120233