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11111123132032 = 277117011608197
BaseRepresentation
bin1010000110110000001010…
…0011000001111010000000
31110100012202021102200012011
42201230002203001322000
52424021040010211112
635344213545542304
72224515663212230
oct241540243017200
943305667380164
1011111123132032
1135a4223383810
1212b54b07a4994
13627a0b510811
142a5ad1999cc0
1514405c1a6aa7
hexa1b028c1e80

11111123132032 has 128 divisors (see below), whose sum is σ = 27636818302080. Its totient is φ = 4322830848000.

The previous prime is 11111123132027. The next prime is 11111123132033. The reversal of 11111123132032 is 23023132111111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11111123131994 and 11111123132012.

It is not an unprimeable number, because it can be changed into a prime (11111123132033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6104958 + ... + 7713154.

It is an arithmetic number, because the mean of its divisors is an integer number (215912642985).

Almost surely, 211111123132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111123132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818409151040).

11111123132032 is an abundant number, since it is smaller than the sum of its proper divisors (16525695170048).

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

11111123132032 is a wasteful number, since it uses less digits than its factorization.

11111123132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608930 (or 1608918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 11111123132032 its reverse (23023132111111), we get a palindrome (34134255243143).

The spelling of 11111123132032 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 701 704 896 1232 1402 1408 2464 2804 4907 4928 5608 7711 9814 9856 11216 15422 19628 22432 30844 39256 44864 53977 61688 78512 89728 107954 123376 157024 215908 246752 314048 431816 493504 628096 863632 987008 1608197 1727264 3216394 3454528 6432788 6909056 11257379 12865576 17690167 22514758 25731152 35380334 45029516 51462304 70760668 90059032 102924608 123831169 141521336 180118064 205849216 247662338 283042672 360236128 495324676 566085344 720472256 990649352 1127346097 1132170688 1440944512 1981298704 2254692194 2264341376 3962597408 4509384388 7891422679 7925194816 9018768776 12400807067 15782845358 15850389632 18037537552 24801614134 31565690716 36075075104 49603228268 63131381432 72150150208 86805649469 99206456536 126262762864 144300300416 173611298938 198412913072 252525525728 347222597876 396825826144 505051051456 694445195752 793651652288 1010102102912 1388890391504 1587303304576 2777780783008 5555561566016 11111123132032