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20110123314112 = 26131911213113453
BaseRepresentation
bin1001001001010010000001…
…10000011010101111000000
32122012111202001220111012011
410210221000300122233000
510113441013032022422
6110434244010542304
74143623413525456
oct444510060325700
978174661814164
1020110123314112
116453723382937
122309587737994
13b2b4b81c8170
144d74999809d6
1524d19cbdb077
hex124a40c1abc0

20110123314112 has 112 divisors (see below), whose sum is σ = 45242033427360. Its totient is φ = 8792228671488.

The previous prime is 20110123314107. The next prime is 20110123314143. The reversal of 20110123314112 is 21141332101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177198378 + ... + 177311830.

It is an arithmetic number, because the mean of its divisors is an integer number (403946727030).

Almost surely, 220110123314112 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 20110123314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621016713680).

20110123314112 is an abundant number, since it is smaller than the sum of its proper divisors (25131910113248).

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

20110123314112 is a wasteful number, since it uses less digits than its factorization.

20110123314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124710 (or 124700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 20110123314112 its reverse (21141332101102), we get a palindrome (41251455415214).

The spelling of 20110123314112 in words is "twenty trillion, one hundred ten billion, one hundred twenty-three million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 11213 15808 22426 44852 89704 113453 145769 179408 213047 226906 291538 358816 426094 453812 583076 717632 852188 907624 1166152 1474889 1704376 1815248 2155607 2332304 2769611 2949778 3408752 3630496 4311214 4664608 5539222 5899556 6817504 7260992 8622428 9329216 11078444 11799112 13635008 17244856 22156888 23598224 28022891 34489712 44313776 47196448 56045782 68979424 88627552 94392896 112091564 137958848 177255104 224183128 448366256 896732512 1272148489 1793465024 2544296978 5088593956 10177187912 16537930357 20354375824 24170821291 33075860714 40708751648 48341642582 66151721428 81417503296 96683285164 132303442856 193366570328 264606885712 314220676783 386733140656 529213771424 628441353566 773466281312 1058427542848 1256882707132 1546932562624 2513765414264 5027530828528 10055061657056 20110123314112