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11331221100233 = 19291071811061849
BaseRepresentation
bin1010010011100100000101…
…1010001001011011001001
31111010020212021120221001012
42210321001122021123021
52441122320100201413
640033254025133305
72246440136113556
oct244710132113311
944106767527035
1011331221100233
1136795a89a7991
12133009702a235
136426b65b9368
142b2610d85a2d
15149b3ec997a8
hexa4e416896c9

11331221100233 has 32 divisors (see below), whose sum is σ = 12523034160000. Its totient is φ = 10211070159360.

The previous prime is 11331221100217. The next prime is 11331221100259. The reversal of 11331221100233 is 33200112213311.

It is a cyclic number.

It is not a de Polignac number, because 11331221100233 - 24 = 11331221100217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331221100199 and 11331221100208.

It is not an unprimeable number, because it can be changed into a prime (11331221100733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10140293 + ... + 11202141.

It is an arithmetic number, because the mean of its divisors is an integer number (391344817500).

Almost surely, 211331221100233 is an apocalyptic number.

It is an amenable number.

11331221100233 is a deficient number, since it is larger than the sum of its proper divisors (1191813059767).

11331221100233 is a wasteful number, since it uses less digits than its factorization.

11331221100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062185.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11331221100233 its reverse (33200112213311), we get a palindrome (44531333313544).

The spelling of 11331221100233 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred thousand, two hundred thirty-three".

Divisors: 1 19 29 107 181 551 2033 3103 3439 5249 19367 58957 99731 367973 561643 1061849 10671217 20175131 30793621 113617843 192194669 585078799 2158739017 3294917447 3651698711 5573645401 20564829583 62603431493 105899262619 390731762077 596380057907 11331221100233