Search a number
-
+
12223111013300 = 22521153209658851
BaseRepresentation
bin1011000111011110101000…
…1100001010001110110100
31121021111222121210220111102
42301313222030022032310
53100230412404411200
641555115241225232
72401043041231025
oct261675214121664
947244877726442
1012223111013300
1139928795693a0
121454b07192218
136a8832a99555
1430385d208c4c
15162e402d26d5
hexb1dea30a3b4

12223111013300 has 72 divisors (see below), whose sum is σ = 29481389132832. Its totient is φ = 4360904080000.

The previous prime is 12223111013299. The next prime is 12223111013303. The reversal of 12223111013300 is 331011132221.

It is a happy number.

12223111013300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223111013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104771126 + ... + 104887725.

It is an arithmetic number, because the mean of its divisors is an integer number (409463737956).

Almost surely, 212223111013300 is an apocalyptic number.

12223111013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223111013300 is an abundant number, since it is smaller than the sum of its proper divisors (17258278119532).

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

12223111013300 is a wasteful number, since it uses less digits than its factorization.

12223111013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209658929 (or 209658922 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12223111013300 its reverse (331011132221), we get a palindrome (12554122145521).

The spelling of 12223111013300 in words is "twelve trillion, two hundred twenty-three billion, one hundred eleven million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 209658851 419317702 838635404 1048294255 2096588510 2306247361 4193177020 4612494722 5241471275 9224989444 10482942550 11111919103 11531236805 20965885100 22223838206 23062473610 44447676412 46124947220 55559595515 57656184025 111119191030 115312368050 122231110133 222238382060 230624736100 244462220266 277797977575 488924440532 555595955150 611155550665 1111191910300 1222311101330 2444622202660 3055777753325 6111555506650 12223111013300