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11011213000233 = 32211235377849
BaseRepresentation
bin1010000000111011111101…
…1100000111111000101001
31102222122212100220002221100
42200032333130013320221
52420401431012001413
635230251553032013
72214351060130155
oct240167734077051
942878770802840
1011011213000233
113565913749a56
12129a068b55609
1361b478508034
142a0d34850065
15141660cbea73
hexa03bf707e29

11011213000233 has 36 divisors (see below), whose sum is σ = 16026299558100. Its totient is φ = 7285227586560.

The previous prime is 11011213000211. The next prime is 11011213000247. The reversal of 11011213000233 is 33200031211011.

11011213000233 is a `hidden beast` number, since 1 + 10 + 1 + 121 + 300 + 0 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2929684103424 + 8081528896809 = 1711632^2 + 2842803^2 .

It is not a de Polignac number, because 11011213000233 - 217 = 11011212869161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011213000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141404293 + ... + 141482141.

It is an arithmetic number, because the mean of its divisors is an integer number (445174987725).

Almost surely, 211011213000233 is an apocalyptic number.

It is an amenable number.

11011213000233 is a deficient number, since it is larger than the sum of its proper divisors (5015086557867).

11011213000233 is an equidigital number, since it uses as much as digits as its factorization.

11011213000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78630 (or 78416 counting only the distinct ones).

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

Adding to 11011213000233 its reverse (33200031211011), we get a palindrome (44211244211244).

The spelling of 11011213000233 in words is "eleven trillion, eleven billion, two hundred thirteen million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 211 353 633 1059 1899 3177 44521 74483 77849 133563 223449 233547 400689 670347 700641 15715913 16426139 27480697 47147739 49278417 82442091 141443217 147835251 247326273 3465915329 5798427067 10397745987 17395281201 31193237961 52185843603 1223468111137 3670404333411 11011213000233