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1122122313 = 32132737753
BaseRepresentation
bin100001011100010…
…0011101001001001
32220012110201102200
41002320203221021
54244230403223
6303202550413
736543611424
oct10270435111
92805421380
101122122313
11526455114
12273968409
1314b628100
14a905a9bb
15687a5a43
hex42e23a49

1122122313 has 18 divisors (see below), whose sum is σ = 1755116766. Its totient is φ = 690535872.

The previous prime is 1122122293. The next prime is 1122122327. The reversal of 1122122313 is 3132212211.

It can be written as a sum of positive squares in 3 ways, for example, as 16426809 + 1105695504 = 4053^2 + 33252^2 .

It is not a de Polignac number, because 1122122313 - 225 = 1088567881 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122122363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367356 + ... + 370397.

It is an arithmetic number, because the mean of its divisors is an integer number (97506487).

Almost surely, 21122122313 is an apocalyptic number.

1122122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1122122313 is a deficient number, since it is larger than the sum of its proper divisors (632994453).

1122122313 is a wasteful number, since it uses less digits than its factorization.

1122122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737785 (or 737769 counting only the distinct ones).

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

The square root of 1122122313 is about 33498.0941696688. The cubic root of 1122122313 is about 1039.1543646744.

Adding to 1122122313 its reverse (3132212211), we get a palindrome (4254334524).

The spelling of 1122122313 in words is "one billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 169 507 1521 737753 2213259 6639777 9590789 28772367 86317101 124680257 374040771 1122122313