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11121000011233 = 717241199673769
BaseRepresentation
bin1010000111010100111101…
…0000010101010111100001
31110101011020121112010022221
42201311033100111113201
52424201302000324413
635352530013431041
72225315514254350
oct241651720252741
943334217463287
1011121000011233
1135a84316452a2
1212b73a849b481
13628923850738
142a638b62d997
1514443934468d
hexa1d4f4155e1

11121000011233 has 48 divisors (see below), whose sum is σ = 13900144608000. Its totient is φ = 8708747857920.

The previous prime is 11121000011129. The next prime is 11121000011243. The reversal of 11121000011233 is 33211000012111.

It is a happy number.

It is not a de Polignac number, because 11121000011233 - 213 = 11121000003041 is a prime.

It is a super-2 number, since 2×111210000112332 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121000011243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16168773 + ... + 16842541.

It is an arithmetic number, because the mean of its divisors is an integer number (289586346000).

Almost surely, 211121000011233 is an apocalyptic number.

It is an amenable number.

11121000011233 is a deficient number, since it is larger than the sum of its proper divisors (2779144596767).

11121000011233 is a wasteful number, since it uses less digits than its factorization.

11121000011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674050 (or 674033 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11121000011233 its reverse (33211000012111), we get a palindrome (44332000023344).

The spelling of 11121000011233 in words is "eleven trillion, one hundred twenty-one billion, eleven thousand, two hundred thirty-three".

Divisors: 1 7 17 41 119 199 287 289 697 1393 2023 3383 4879 8159 11849 23681 57113 57511 82943 138703 402577 673769 970921 2357951 4716383 11454073 16505657 27624529 80178511 134080031 193371703 194719241 469616993 938560217 1363034687 2279360527 3287318951 5497281271 7983488881 15955523689 38480968897 38749128959 55884422167 93453781607 271243902713 654176471249 1588714287319 11121000011233