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11121133023 = 32711133074021
BaseRepresentation
bin10100101101101111…
…10000010111011111
31001201001101002111200
422112313300113133
5140234002224043
65035312250543
7542410033230
oct122667602737
931631332450
1011121133023
114797653930
1221a4540a53
13108305a1b0
14777003087
1545151a7d3
hex296df05df

11121133023 has 96 divisors (see below), whose sum is σ = 21643894272. Its totient is φ = 5314118400.

The previous prime is 11121133021. The next prime is 11121133057. The reversal of 11121133023 is 32033112111.

It is not a de Polignac number, because 11121133023 - 21 = 11121133021 is a prime.

It is a super-2 number, since 2×111211330232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121132987 and 11121133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121133021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763753 + ... + 2767773.

It is an arithmetic number, because the mean of its divisors is an integer number (225457232).

Almost surely, 211121133023 is an apocalyptic number.

11121133023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11121133023 is a deficient number, since it is larger than the sum of its proper divisors (10522761249).

11121133023 is a wasteful number, since it uses less digits than its factorization.

11121133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4362 counting only the distinct ones).

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

Adding to 11121133023 its reverse (32033112111), we get a palindrome (43154245134).

It can be divided in two parts, 1112113 and 3023, that added together give a square (1115136 = 10562).

The spelling of 11121133023 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 307 429 693 819 921 1001 1287 2149 2763 3003 3377 3991 4021 6447 9009 10131 11973 12063 19341 23639 27937 28147 30393 35919 36189 43901 44231 52273 70917 83811 84441 131703 132693 156819 212751 251433 253323 307307 309617 365911 395109 398079 470457 575003 921921 928851 1097733 1234447 1725009 2765763 2786553 3293199 3703341 4025021 5175027 8641129 11110023 12075063 13578917 16047811 25923387 36225189 40736751 48143433 77770161 95052419 112334677 122210253 144430299 176525921 285157257 337004031 529577763 855471771 1011012093 1235681447 1588733289 3707044341 11121133023