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13033331103111 = 311252368651039
BaseRepresentation
bin1011110110101000111100…
…0100100001010110000111
31201010222022020212000001220
42331222033010201112013
53202014230230244421
643415232445451423
72513425044324204
oct275521704412607
951128266760056
1013033331103111
11417544a6a1900
121565b44270b73
13737065202937
14330b60a24cab
151790609593c6
hexbda8f121587

13033331103111 has 24 divisors (see below), whose sum is σ = 19137713118720. Its totient is φ = 7883885203920.

The previous prime is 13033331103083. The next prime is 13033331103127. The reversal of 13033331103111 is 11130113333031.

13033331103111 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 13033331103111 - 210 = 13033331102087 is a prime.

It is a super-2 number, since 2×130333311031112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033331103811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34135671 + ... + 34515368.

It is an arithmetic number, because the mean of its divisors is an integer number (797404713280).

Almost surely, 213033331103111 is an apocalyptic number.

13033331103111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13033331103111 is a deficient number, since it is larger than the sum of its proper divisors (6104382015609).

13033331103111 is a wasteful number, since it uses less digits than its factorization.

13033331103111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68651587 (or 68651576 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 13033331103111 its reverse (11130113333031), we get a palindrome (24163444436142).

The spelling of 13033331103111 in words is "thirteen trillion, thirty-three billion, three hundred thirty-one million, one hundred three thousand, one hundred eleven".

Divisors: 1 3 11 33 121 363 523 1569 5753 17259 63283 189849 68651039 205953117 755161429 2265484287 8306775719 24920327157 35904493397 107713480191 394949427367 1184848282101 4344443701037 13033331103111