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11122120233 = 337152338639
BaseRepresentation
bin10100101101110111…
…00001011000101001
31001201010020020201000
422112323201120221
5140234230321413
65035345345213
7542421314340
oct122673413051
931633206630
1011122120233
114798168604
1221a4938209
131083314643
147771bcb57
15451663073
hex296ee1629

11122120233 has 32 divisors (see below), whose sum is σ = 18843955200. Its totient is φ = 6351159888.

The previous prime is 11122120199. The next prime is 11122120363. The reversal of 11122120233 is 33202122111.

11122120233 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 11122120233 - 213 = 11122112041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11122125233) 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 31 ways as a sum of consecutive naturals, for example, 268528 + ... + 307166.

It is an arithmetic number, because the mean of its divisors is an integer number (588873600).

Almost surely, 211122120233 is an apocalyptic number.

It is an amenable number.

11122120233 is a deficient number, since it is larger than the sum of its proper divisors (7721834967).

11122120233 is a wasteful number, since it uses less digits than its factorization.

11122120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40178 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11122120233 its reverse (33202122111), we get a palindrome (44324242344).

The spelling of 11122120233 in words is "eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 1523 4569 10661 13707 31983 38639 41121 95949 115917 270473 287847 347751 811419 1043253 2434257 7302771 58847197 176541591 411930379 529624773 1235791137 1588874319 3707373411 11122120233