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11001100111110 = 23253710730875081
BaseRepresentation
bin1010000000010110010010…
…1010100000110100000110
31102221200202120201010001100
42200011210222200310012
52420220223112023420
635221500254440530
72213542342031334
oct240054452406406
942850676633040
1011001100111110
1135615a423a74a
121298106203146
1361a526313485
142a0655702b54
1514126d063190
hexa0164aa0d06

11001100111110 has 96 divisors (see below), whose sum is σ = 29650452747552. Its totient is φ = 2827663326720.

The previous prime is 11001100111087. The next prime is 11001100111153. The reversal of 11001100111110 is 1111100110011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001100111092 and 11001100111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15081231 + ... + 15793850.

It is an arithmetic number, because the mean of its divisors is an integer number (308858882787).

Almost surely, 211001100111110 is an apocalyptic number.

11001100111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001100111110 is an abundant number, since it is smaller than the sum of its proper divisors (18649352636442).

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

11001100111110 is a wasteful number, since it uses less digits than its factorization.

11001100111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30875238 (or 30875235 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001100111110 its reverse (1111100110011), we get a palindrome (12112200221121).

The spelling of 11001100111110 in words is "eleven trillion, one billion, one hundred million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 107 111 185 214 222 321 333 370 535 555 642 666 963 1070 1110 1605 1665 1926 3210 3330 3959 4815 7918 9630 11877 19795 23754 35631 39590 59385 71262 118770 178155 356310 30875081 61750162 92625243 154375405 185250486 277875729 308750810 463126215 555751458 926252430 1142377997 1389378645 2284755994 2778757290 3303633667 3427133991 5711889985 6607267334 6854267982 9910901001 10281401973 11423779970 16518168335 17135669955 19821802002 20562803946 29732703003 33036336670 34271339910 49554505005 51407009865 59465406006 99109010010 102814019730 122234445679 148663515015 244468891358 297327030030 366703337037 611172228395 733406674074 1100110011111 1222344456790 1833516685185 2200220022222 3667033370370 5500550055555 11001100111110