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20010210103312 = 241113101103983341
BaseRepresentation
bin1001000110010111111010…
…11101110001000000010000
32121211221211221120111100021
410203023331131301000100
510110321402241301222
6110320321424033224
74133455442330632
oct443137535610020
977757757514307
1020010210103312
116415311a35850
1222b2142a62814
13b21c546850a0
144d26dc272a52
1524a7a13e6ac7
hex1232fd771010

20010210103312 has 160 divisors (see below), whose sum is σ = 46043508026880. Its totient is φ = 8304664320000.

The previous prime is 20010210103297. The next prime is 20010210103357. The reversal of 20010210103312 is 21330101201002.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 240058762 + ... + 240142102.

It is an arithmetic number, because the mean of its divisors is an integer number (287771925168).

Almost surely, 220010210103312 is an apocalyptic number.

20010210103312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010210103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021754013440).

20010210103312 is an abundant number, since it is smaller than the sum of its proper divisors (26033297923568).

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

20010210103312 is a wasteful number, since it uses less digits than its factorization.

20010210103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84513 (or 84507 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20010210103312 its reverse (21330101201002), we get a palindrome (41340311304314).

The spelling of 20010210103312 in words is "twenty trillion, ten billion, two hundred ten million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 101 104 143 176 202 208 286 404 572 808 1039 1111 1144 1313 1616 2078 2222 2288 2626 4156 4444 5252 8312 8888 10504 11429 13507 14443 16624 17776 21008 22858 27014 28886 45716 54028 57772 83341 91432 104939 108056 115544 148577 166682 182864 209878 216112 231088 297154 333364 419756 594308 666728 839512 916751 1083433 1154329 1188616 1333456 1364207 1679024 1833502 2166866 2308658 2377232 2728414 3667004 4333732 4617316 5456828 7334008 8417441 8667464 9234632 10913656 11917763 14668016 15006277 16834882 17334928 18469264 21827312 23835526 30012554 33669764 47671052 60025108 67339528 86591299 92591851 95342104 109426733 120050216 134679056 173182598 185183702 190684208 218853466 240100432 346365196 370367404 437706932 692730392 740734808 875413864 952504289 1125686887 1203694063 1385460784 1481469616 1750827728 1905008578 2251373774 2407388126 3810017156 4502747548 4814776252 7620034312 8745721199 9005495096 9629552504 12382555757 15240068624 17491442398 18010990192 19259105008 24765111514 34982884796 49530223028 69965769592 96202933189 99060446056 113694375587 139931539184 192405866378 198120892112 227388751174 384811732756 454777502348 769623465512 909555004696 1250638131457 1539246931024 1819110009392 2501276262914 5002552525828 10005105051656 20010210103312