Search a number
-
+
112123213033 = 13374128120233
BaseRepresentation
bin110100001101100010…
…0000111010011101001
3101201102001121101002211
41220123010013103221
53314112020304113
6123301513325121
711046342404626
oct1503304072351
9351361541084
10112123213033
11436076a3527
1219891a067a1
13a75b354790
1455d919334d
152db36e7b3d
hex1a1b1074e9

112123213033 has 32 divisors (see below), whose sum is σ = 127494595872. Its totient is φ = 97890508800.

The previous prime is 112123213021. The next prime is 112123213063. The reversal of 112123213033 is 330312321211.

It can be written as a sum of positive squares in 16 ways, for example, as 29815619584 + 82307593449 = 172672^2 + 286893^2 .

It is not a de Polignac number, because 112123213033 - 225 = 112089658601 is a prime.

It is a super-2 number, since 2×1121232130332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112123212995 and 112123213013.

It is not an unprimeable number, because it can be changed into a prime (112123213063) 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 31 ways as a sum of consecutive naturals, for example, 5531485 + ... + 5551717.

It is an arithmetic number, because the mean of its divisors is an integer number (3984206121).

Almost surely, 2112123213033 is an apocalyptic number.

112123213033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112123213033 is a deficient number, since it is larger than the sum of its proper divisors (15371382839).

112123213033 is a wasteful number, since it uses less digits than its factorization.

112123213033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20605.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 112123213033 its reverse (330312321211), we get a palindrome (442435534244).

The spelling of 112123213033 in words is "one hundred twelve billion, one hundred twenty-three million, two hundred thirteen thousand, thirty-three".

Divisors: 1 13 37 41 281 481 533 1517 3653 10397 11521 19721 20233 135161 149773 263029 426277 748621 829553 5541601 5685473 9732073 10784189 30693461 73911149 210362501 233104393 399014993 2734712513 3030357109 8624862541 112123213033