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10023013032011 = 71767149163191271
BaseRepresentation
bin1001000111011010101000…
…1000011010000001001011
31022111012011000022101222022
42101312222020122001023
52303204112314011021
633152301510115055
72053065415032140
oct221665210320113
938435130271868
1010023013032011
113214810614641
12115a63a94ba8b
13579220b2b325
1426918b6503c7
15125ac54791ab
hex91daa21a04b

10023013032011 has 128 divisors (see below), whose sum is σ = 12579884236800. Its totient is φ = 7793082316800.

The previous prime is 10023013031947. The next prime is 10023013032029. The reversal of 10023013032011 is 11023031032001.

It is a cyclic number.

It is not a de Polignac number, because 10023013032011 - 26 = 10023013031947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10023013032041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36985287806 + ... + 36985288076.

It is an arithmetic number, because the mean of its divisors is an integer number (98280345600).

Almost surely, 210023013032011 is an apocalyptic number.

10023013032011 is a deficient number, since it is larger than the sum of its proper divisors (2556871204789).

10023013032011 is a wasteful number, since it uses less digits than its factorization.

10023013032011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10023013032011 its reverse (11023031032001), we get a palindrome (21046044064012).

The spelling of 10023013032011 in words is "ten trillion, twenty-three billion, thirteen million, thirty-two thousand, eleven".

Divisors: 1 7 17 67 119 149 163 191 271 469 1043 1139 1141 1337 1897 2533 2771 3247 4607 7973 9983 10921 12797 17731 18157 19397 22729 24287 28459 31133 32249 40379 44173 51761 69881 76447 89579 127099 169711 170009 185657 199213 217549 217931 282653 308669 309211 362327 412879 483803 529261 686443 750941 879937 1187977 1299599 1522843 1627229 1906753 2085911 2160683 2705393 2890153 2959591 3386621 3467987 3704827 4638817 4805101 5256587 6159559 6581777 7712389 8437043 11390603 13347271 14601377 18937751 20717137 24275909 27662893 32414801 32471719 35460487 45991681 46072439 50313047 53986723 58955779 59059301 78859889 111890209 131110613 143429731 193640251 226903607 248223409 310800739 321941767 352191329 412690453 440979059 516730063 552019223 565281881 783231463 917774291 1004008117 1257119407 2175605173 3086853413 3617110441 3956973167 5283612563 7496644003 8784411071 8799835849 9609791977 21371029919 36985287941 52476508021 61490877497 67268543839 84227000269 149597209433 589589001883 1431859004573 10023013032011