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10023101023312 = 2413677313175209
BaseRepresentation
bin1001000111011010111101…
…1000000100010001010000
31022111012101010212211100101
42101312233120010101100
52303204302330221222
633152314332102144
72053100533660426
oct221665730042120
938435333784311
1010023101023312
113214856253823
12115a664304954
13579236128ba0
142691991d7116
15125acd05a927
hex91daf604450

10023101023312 has 160 divisors (see below), whose sum is σ = 21681028575360. Its totient is φ = 4460207431680.

The previous prime is 10023101023289. The next prime is 10023101023321. The reversal of 10023101023312 is 21332010132001.

It is a self number, because there is not a number n which added to its sum of digits gives 10023101023312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133232364 + ... + 133307572.

It is an arithmetic number, because the mean of its divisors is an integer number (135506428596).

Almost surely, 210023101023312 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 10023101023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840514287680).

10023101023312 is an abundant number, since it is smaller than the sum of its proper divisors (11657927552048).

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

10023101023312 is a wasteful number, since it uses less digits than its factorization.

10023101023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75501 (or 75495 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10023101023312 its reverse (21332010132001), we get a palindrome (31355111155313).

The spelling of 10023101023312 in words is "ten trillion, twenty-three billion, one hundred one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 67 73 104 131 134 146 208 262 268 292 524 536 584 871 949 1048 1072 1168 1703 1742 1898 2096 3406 3484 3796 4891 6812 6968 7592 8777 9563 9782 13624 13936 15184 17554 19126 19564 27248 35108 38252 39128 63583 70216 75209 76504 78256 114101 124319 127166 140432 150418 153008 228202 248638 254332 300836 456404 497276 508664 601672 640721 912808 977717 994552 1017328 1203344 1281442 1825616 1955434 1989104 2562884 3910868 5039003 5125768 5490257 7821736 8329373 9852379 10078006 10251536 10980514 15643472 16658746 19704758 20156012 21961028 33317492 39409516 40312024 43922056 65507039 66634984 71373341 78819032 80624048 87844112 128080927 131014078 133269968 142746682 157638064 256161854 262028156 285493364 367847219 512323708 524056312 570986728 660109393 719223667 735694438 1024647416 1048112624 1141973456 1320218786 1438447334 1471388876 2049294832 2640437572 2876894668 2942777752 4782013847 5280875144 5753789336 5885555504 8581422109 9349907671 9564027694 10561750288 11507578672 17162844218 18699815342 19128055388 34325688436 37399630684 38256110776 48187985689 68651376872 74799261368 76512221552 96375971378 137302753744 149598522736 192751942756 385503885512 626443813957 771007771024 1252887627914 2505775255828 5011550511656 10023101023312