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11123602023630 = 2353141462163131
BaseRepresentation
bin1010000111011110101001…
…0110001110010011001110
31110101101221221200001022110
42201313222112032103032
52424222114104224010
635354040123524450
72225440141066335
oct241675226162316
943341857601273
1011123602023630
1135a9547394768
1212b79b3989726
13628c49949645
142a6557036d1c
1514453c9c1120
hexa1dea58e4ce

11123602023630 has 128 divisors (see below), whose sum is σ = 28236525391872. Its totient is φ = 2799941760000.

The previous prime is 11123602023629. The next prime is 11123602023637. The reversal of 11123602023630 is 3632020632111.

It is a super-3 number, since 3×111236020236303 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123602023637) 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 63 ways as a sum of consecutive naturals, for example, 176167165 + ... + 176230295.

It is an arithmetic number, because the mean of its divisors is an integer number (220597854624).

Almost surely, 211123602023630 is an apocalyptic number.

11123602023630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123602023630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14118262695936).

11123602023630 is an abundant number, since it is smaller than the sum of its proper divisors (17112923368242).

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

11123602023630 is a wasteful number, since it uses less digits than its factorization.

11123602023630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67834.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 11123602023630 its reverse (3632020632111), we get a palindrome (14755622655741).

The spelling of 11123602023630 in words is "eleven trillion, one hundred twenty-three billion, six hundred two million, twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 1230 1271 2542 3813 4621 6355 7626 9242 12710 13863 19065 23105 27726 38130 46210 63131 69315 126262 138630 143251 189393 189461 286502 315655 378786 378922 429753 568383 631310 716255 859506 946965 947305 1136766 1432510 1893930 1894610 1957061 2148765 2588371 2841915 3914122 4297530 5176742 5683830 5871183 5873291 7765113 9785305 11742366 11746582 12941855 15530226 17619873 19570610 25883710 29355915 29366455 35239746 38825565 58711830 58732910 77651130 80239501 88099365 160479002 176198730 240718503 291728351 401197505 481437006 583456702 802395010 875185053 1203592515 1458641755 1750370106 2407185030 2917283510 4375925265 8751850530 9043578881 11960862391 18087157762 23921724782 27130736643 35882587173 45217894405 54261473286 59804311955 71765174346 90435788810 119608623910 135653683215 179412935865 271307366430 358825871730 370786734121 741573468242 1112360202363 1853933670605 2224720404726 3707867341210 5561801011815 11123602023630