Search a number
-
+
11133300312 = 233417181019
BaseRepresentation
bin10100101111001100…
…01010111001011000
31001201220021020220000
422113212022321120
5140300111102222
65040425133000
7542615330331
oct122746127130
931656236800
1011133300312
1147a3504342
1221a862a160
13108572a384
1477888d288
154526209ac
hex29798ae58

11133300312 has 40 divisors (see below), whose sum is σ = 31183551300. Its totient is φ = 3711099888.

The previous prime is 11133300293. The next prime is 11133300313. The reversal of 11133300312 is 21300333111.

It is a happy number.

11133300312 is a `hidden beast` number, since 11 + 13 + 330 + 0 + 312 = 666.

11133300312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133300313) 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 9 ways as a sum of consecutive naturals, for example, 8589862 + ... + 8591157.

Almost surely, 211133300312 is an apocalyptic number.

11133300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133300312 is an abundant number, since it is smaller than the sum of its proper divisors (20050250988).

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

11133300312 is a wasteful number, since it uses less digits than its factorization.

11133300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181037 (or 17181024 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11133300312 its reverse (21300333111), we get a palindrome (32433633423).

The spelling of 11133300312 in words is "eleven billion, one hundred thirty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17181019 34362038 51543057 68724076 103086114 137448152 154629171 206172228 309258342 412344456 463887513 618516684 927775026 1237033368 1391662539 1855550052 2783325078 3711100104 5566650156 11133300312