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11300323111110 = 23251111414467789
BaseRepresentation
bin1010010001110000111110…
…1111101011000011000110
31111000022002221120110011200
42210130033233223003012
52440121030204023420
640011144034043330
72244264353412615
oct244341757530306
944008087513150
1011300323111110
113667492885390
1213260b3419546
1363c801182c67
142b0d1d58587c
15148e323deb90
hexa470fbeb0c6

11300323111110 has 48 divisors (see below), whose sum is σ = 32051825554320. Its totient is φ = 2739472269120.

The previous prime is 11300323111009. The next prime is 11300323111127. The reversal of 11300323111110 is 1111132300311.

11300323111110 is a `hidden beast` number, since 1 + 1 + 300 + 32 + 311 + 11 + 10 = 666.

It is a super-3 number, since 3×113003231111103 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5707232905 + ... + 5707234884.

It is an arithmetic number, because the mean of its divisors is an integer number (667746365715).

Almost surely, 211300323111110 is an apocalyptic number.

11300323111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11300323111110 is an abundant number, since it is smaller than the sum of its proper divisors (20751502443210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11300323111110 is a wasteful number, since it uses less digits than its factorization.

11300323111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414467813 (or 11414467810 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11300323111110 its reverse (1111132300311), we get a palindrome (12411455411421).

The spelling of 11300323111110 in words is "eleven trillion, three hundred billion, three hundred twenty-three million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 11414467789 22828935578 34243403367 57072338945 68486806734 102730210101 114144677890 125559145679 171217016835 205460420202 251118291358 342434033670 376677437037 513651050505 627795728395 753354874074 1027302101010 1130032311111 1255591456790 1883387185185 2260064622222 3766774370370 5650161555555 11300323111110