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11133322101 = 341112495311
BaseRepresentation
bin10100101111001100…
…10000001101110101
31001201220022100210000
422113212100031311
5140300112301401
65040425421513
7542615451006
oct122746201565
931656270700
1011133322101
1147a3519750
1221a863a899
131085737275
147788971ad
15452627186
hex297990375

11133322101 has 20 divisors (see below), whose sum is σ = 18143193024. Its totient is φ = 6747467400.

The previous prime is 11133322087. The next prime is 11133322141. The reversal of 11133322101 is 10122333111.

11133322101 is a `hidden beast` number, since 111 + 333 + 221 + 0 + 1 = 666.

11133322101 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 11133322101 - 215 = 11133289333 is a prime.

It is a super-2 number, since 2×111333221012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133322141) 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 19 ways as a sum of consecutive naturals, for example, 6246765 + ... + 6248546.

Almost surely, 211133322101 is an apocalyptic number.

11133322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11133322101 is a deficient number, since it is larger than the sum of its proper divisors (7009870923).

11133322101 is a wasteful number, since it uses less digits than its factorization.

11133322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12495334 (or 12495325 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133322101 its reverse (10122333111), we get a palindrome (21255655212).

The spelling of 11133322101 in words is "eleven billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 27 33 81 99 297 891 12495311 37485933 112457799 137448421 337373397 412345263 1012120191 1237035789 3711107367 11133322101