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21110122101112 = 23111014639511991
BaseRepresentation
bin1001100110011000101010…
…10101000011100101111000
32202202002220201001021202021
410303030111111003211320
510231332012224213422
6112521504535244224
74306104335133202
oct463142525034570
982662821037667
1021110122101112
1167a983064a450
12244b349219674
13ba18a315a845
1452da41b8d772
152691c92b2dc7
hex133315543978

21110122101112 has 64 divisors (see below), whose sum is σ = 43616803276800. Its totient is φ = 9498438480000.

The previous prime is 21110122101097. The next prime is 21110122101121.

21110122101112 is nontrivially palindromic in base 10.

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, 40975437 + ... + 41487427.

It is an arithmetic number, because the mean of its divisors is an integer number (681512551200).

Almost surely, 221110122101112 is an apocalyptic number.

21110122101112 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 21110122101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21808401638400).

21110122101112 is an abundant number, since it is smaller than the sum of its proper divisors (22506681175688).

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

21110122101112 is a wasteful number, since it uses less digits than its factorization.

21110122101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516748 (or 516744 counting only the distinct ones).

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

It can be divided in two parts, 2111012 and 2101112, that added together give a palindrome (4212124).

The spelling of 21110122101112 in words is "twenty-one trillion, one hundred ten billion, one hundred twenty-two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 4639 8888 9278 18556 37112 51029 102058 204116 408232 468539 511991 937078 1023982 1874156 2047964 3748312 4095928 5153929 5631901 10307858 11263802 20615716 22527604 41231432 45055208 51711091 103422182 206844364 413688728 568822001 1137644002 2275288004 2375126249 4550576008 4750252498 9500504996 19001009992 26126388739 52252777478 104505554956 209011109912 239887751149 479775502298 959551004596 1919102009192 2638765262639 5277530525278 10555061050556 21110122101112