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11323301121 = 36112137937
BaseRepresentation
bin10101000101110101…
…11101110100000001
31002020010210022000000
422202322331310001
5141142231113441
65111333350213
7550413320466
oct124272756401
932203708000
1011323301121
114890787800
122240198369
1310b5bc32a2
14795bcb66d
154641522b6
hex2a2ebdd01

11323301121 has 84 divisors (see below), whose sum is σ = 18817144836. Its totient is φ = 6805244160.

The previous prime is 11323301117. The next prime is 11323301141. The reversal of 11323301121 is 12110332311.

11323301121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3117658896 + 8205642225 = 55836^2 + 90585^2 .

It is not a de Polignac number, because 11323301121 - 22 = 11323301117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11323301094 and 11323301103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323301141) 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 83 ways as a sum of consecutive naturals, for example, 12084165 + ... + 12085101.

It is an arithmetic number, because the mean of its divisors is an integer number (224013629).

Almost surely, 211323301121 is an apocalyptic number.

11323301121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11323301121 is a deficient number, since it is larger than the sum of its proper divisors (7493843715).

11323301121 is an equidigital number, since it uses as much as digits as its factorization.

11323301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1088 counting only the distinct ones).

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

Adding to 11323301121 its reverse (12110332311), we get a palindrome (23433633432).

The spelling of 11323301121 in words is "eleven billion, three hundred twenty-three million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 137 243 297 363 411 729 891 937 1089 1233 1507 2673 2811 3267 3699 4521 8019 8433 9801 10307 11097 13563 16577 25299 29403 30921 33291 40689 49731 75897 88209 92763 99873 113377 122067 128369 149193 227691 278289 340131 366201 385107 447579 683073 834867 1020393 1098603 1155321 1342737 1412059 2504601 3061179 3465963 4028211 4236177 7513803 9183537 10397889 12084633 12708531 15532649 27550611 31193667 38125593 46597947 82651833 93581001 114376779 139793841 343130337 419381523 1029391011 1258144569 3774433707 11323301121