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20110012201000 = 2353311579141081
BaseRepresentation
bin1001001001010001110100…
…01000100011100000101000
32122012111110022211100122201
410210220322020203200220
510113440301110413000
6110434225001225544
74143620564216521
oct444507210434050
978174408740581
1020110012201000
116453676690a17
1223095564922b4
13b2b49b193267
144d7488cd9848
1524d19308d96a
hex124a3a223828

20110012201000 has 128 divisors (see below), whose sum is σ = 48579668766720. Its totient is φ = 7783838400000.

The previous prime is 20110012200977. The next prime is 20110012201033. The reversal of 20110012201000 is 10221001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 489500460 + ... + 489541540.

It is an arithmetic number, because the mean of its divisors is an integer number (379528662240).

Almost surely, 220110012201000 is an apocalyptic number.

20110012201000 is a gapful number since it is divisible by the number (20) 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 20110012201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289834383360).

20110012201000 is an abundant number, since it is smaller than the sum of its proper divisors (28469656565720).

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

20110012201000 is a wasteful number, since it uses less digits than its factorization.

20110012201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56924 (or 56910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110012201000 its reverse (10221001102), we get a palindrome (20120233202102).

The spelling of 20110012201000 in words is "twenty trillion, one hundred ten billion, twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 15791 31000 31582 41081 63164 78955 82162 126328 157910 164324 205405 315820 328648 394775 410810 489521 631640 789550 821620 979042 1027025 1273511 1579100 1643240 1958084 1973875 2054050 2447605 2547022 3158200 3916168 3947750 4108100 4895210 5094044 5135125 6367555 7895500 8216200 9790420 10188088 10270250 12238025 12735110 15791000 19580840 20540500 24476050 25470220 31837775 41081000 48952100 50940440 61190125 63675550 97904200 122380250 127351100 159188875 244760500 254702200 318377750 489521000 636755500 648710071 1273511000 1297420142 2594840284 3243550355 5189680568 6487100710 12974201420 16217751775 20110012201 25948402840 32435503550 40220024402 64871007100 80440048804 81088758875 100550061005 129742014200 160880097608 162177517750 201100122010 324355035500 402200244020 502750305025 648710071000 804400488040 1005500610050 2011001220100 2513751525125 4022002440200 5027503050250 10055006100500 20110012201000