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21020122112 = 210118212273
BaseRepresentation
bin10011100100111001…
…011001110000000000
32000020221001211201012
4103210321121300000
5321022122401422
613353450100052
71342620042563
oct234471316000
960227054635
1021020122112
118a07346950
1240a771a628
131c9cb3b9a2
1410359904da
158305c44e2
hex4e4e59c00

21020122112 has 88 divisors (see below), whose sum is σ = 45915716592. Its totient is φ = 9538764800.

The previous prime is 21020122093. The next prime is 21020122129. The reversal of 21020122112 is 21122102012.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9246608 + ... + 9248880.

Almost surely, 221020122112 is an apocalyptic number.

21020122112 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 21020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22957858296).

21020122112 is an abundant number, since it is smaller than the sum of its proper divisors (24895594480).

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

21020122112 is a wasteful number, since it uses less digits than its factorization.

21020122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21020122112 its reverse (21122102012), we get a palindrome (42142224124).

It can be divided in two parts, 2102012 and 2112, that multiplied together give a palindrome (4439449344).

The spelling of 21020122112 in words is "twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 821 1024 1408 1642 2273 2816 3284 4546 5632 6568 9031 9092 11264 13136 18062 18184 25003 26272 36124 36368 50006 52544 72248 72736 100012 105088 144496 145472 200024 210176 288992 290944 400048 420352 577984 581888 800096 840704 1155968 1163776 1600192 1866133 2311936 2327552 3200384 3732266 4623872 6400768 7464532 9247744 12801536 14929064 20527463 25603072 29858128 41054926 59716256 82109852 119432512 164219704 238865024 328439408 477730048 656878816 955460096 1313757632 1910920192 2627515264 5255030528 10510061056 21020122112