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11121333311 = 1147101373571
BaseRepresentation
bin10100101101110001…
…00001010000111111
31001201001202021020202
422112320201100333
5140234030131221
65035320434115
7542411526164
oct122670412077
931631667222
1011121333311
114797780360
1221a461893b
1310830ca3ca
1477705606b
15451559d0b
hex296e2143f

11121333311 has 32 divisors (see below), whose sum is σ = 12568697856. Its totient is φ = 9753840000.

The previous prime is 11121333299. The next prime is 11121333323. The reversal of 11121333311 is 11333312111.

11121333311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11121333299) and next prime (11121333323).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11121333311 is a prime.

It is a super-2 number, since 2×111213333112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121333331) 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, 19476656 + ... + 19477226.

It is an arithmetic number, because the mean of its divisors is an integer number (392771808).

Almost surely, 211121333311 is an apocalyptic number.

11121333311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121333311 is a deficient number, since it is larger than the sum of its proper divisors (1447364545).

11121333311 is a wasteful number, since it uses less digits than its factorization.

11121333311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its digits is 162, while the sum is 20.

Adding to 11121333311 its reverse (11333312111), we get a palindrome (22454645422).

The spelling of 11121333311 in words is "eleven billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred eleven".

Divisors: 1 11 47 101 373 517 571 1111 4103 4747 6281 17531 26837 37673 52217 57671 192841 212983 295207 414403 634381 1770631 2342813 2710537 10010201 19476941 21511283 29815907 110112211 236624113 1011030301 11121333311