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11132120120233 = 727182913015441
BaseRepresentation
bin1010000111111110011000…
…0100001011101110101001
31110102012221120222012010211
42201333212010023232221
52424342040222321413
635402005252141121
72226161212524250
oct241774604135651
943365846865124
1011132120120233
113602118659822
1212b95906077a1
136299a660c7a8
142a6b24447797
1514488a70b83d
hexa1fe610bba9

11132120120233 has 32 divisors (see below), whose sum is σ = 12796950942720. Its totient is φ = 9486097920000.

The previous prime is 11132120120201. The next prime is 11132120120249. The reversal of 11132120120233 is 33202102123111.

It is a cyclic number.

It is not a de Polignac number, because 11132120120233 - 25 = 11132120120201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11132120120633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045966793 + ... + 2045972233.

It is an arithmetic number, because the mean of its divisors is an integer number (399904716960).

Almost surely, 211132120120233 is an apocalyptic number.

It is an amenable number.

11132120120233 is a deficient number, since it is larger than the sum of its proper divisors (1664830822487).

11132120120233 is a wasteful number, since it uses less digits than its factorization.

11132120120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11132120120233 its reverse (33202102123111), we get a palindrome (44334222243344).

The spelling of 11132120120233 in words is "eleven trillion, one hundred thirty-two billion, one hundred twenty million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 7 271 829 1301 1897 5441 5803 9107 38087 224659 352571 1078529 1474511 1572613 2467997 4510589 7078741 7549703 10321577 31574123 49551187 292281359 1222369619 1918338811 2045969513 5868276289 8556587333 13428371677 41077934023 1590302874319 11132120120233