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12022023210100 = 22521932297271181
BaseRepresentation
bin1010111011110001100001…
…1011000100010001110100
31120120021221110122002112121
42232330120123010101310
53033432100420210400
641322501411525324
72350363641140101
oct256743033042164
946507843562477
1012022023210100
113915569763592
121421b472b9844
136928972aa157
142d7c24881aa8
1515cac15d621a
hexaef186c4474

12022023210100 has 72 divisors (see below), whose sum is σ = 26234473183128. Its totient is φ = 4781792870400.

The previous prime is 12022023210059. The next prime is 12022023210149. The reversal of 12022023210100 is 101232022021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2814415574884 + 9207607635216 = 1677622^2 + 3034404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44196510 + ... + 44467690.

It is an arithmetic number, because the mean of its divisors is an integer number (364367683099).

Almost surely, 212022023210100 is an apocalyptic number.

12022023210100 is a gapful number since it is divisible by the number (10) 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 12022023210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117236591564).

12022023210100 is an abundant number, since it is smaller than the sum of its proper divisors (14212449973028).

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

12022023210100 is a wasteful number, since it uses less digits than its factorization.

12022023210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273685 (or 273678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12022023210100 its reverse (101232022021), we get a palindrome (12123255232121).

The spelling of 12022023210100 in words is "twelve trillion, twenty-two billion, twenty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 2297 3860 4594 4825 9188 9650 11485 19300 22970 45940 57425 114850 229700 271181 443321 542362 886642 1084724 1355905 1773284 2216605 2711810 4433210 5423620 6779525 8866420 11083025 13559050 22166050 27118100 44332100 52337933 104675866 209351732 261689665 523379330 622902757 1046758660 1245805514 1308448325 2491611028 2616896650 3114513785 5233793300 6229027570 12458055140 15572568925 31145137850 62290275700 120220232101 240440464202 480880928404 601101160505 1202202321010 2404404642020 3005505802525 6011011605050 12022023210100