Search a number
-
+
211132332323130 = 23519336464996947
BaseRepresentation
bin110000000000011000010011…
…101010110011000100111010
31000200120001110020220021100210
4300000120103222303010322
5210133143004033320010
62025012504322011550
762320544005632321
oct6000302352630472
91020501406807323
10211132332323130
11613007a042a269
121b81aa3aaa6bb6
1390a69028390ca
143a1cc063090b8
151962083215b20
hexc00613ab313a

211132332323130 has 32 divisors (see below), whose sum is σ = 509343077369664. Its totient is φ = 56010235309056.

The previous prime is 211132332323119. The next prime is 211132332323131. The reversal of 211132332323130 is 31323233231112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (211132332323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18232492684 + ... + 18232504263.

It is an arithmetic number, because the mean of its divisors is an integer number (15916971167802).

Almost surely, 2211132332323130 is an apocalyptic number.

211132332323130 is an abundant number, since it is smaller than the sum of its proper divisors (298210745046534).

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

211132332323130 is a wasteful number, since it uses less digits than its factorization.

211132332323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36464997150.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 211132332323130 its reverse (31323233231112), we get a palindrome (242455565554242).

The spelling of 211132332323130 in words is "two hundred eleven trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 193 386 579 965 1158 1930 2895 5790 36464996947 72929993894 109394990841 182324984735 218789981682 364649969470 546974954205 1093949908410 7037744410771 14075488821542 21113233232313 35188722053855 42226466464626 70377444107710 105566166161565 211132332323130