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12223222313000 = 235331481388273
BaseRepresentation
bin1011000111011111000011…
…0100101111000000101000
31121021112021101020111222112
42301313300310233000220
53100231124403004000
641555134254541452
72401045562244656
oct261676064570050
947245241214875
1012223222313000
113992926378516
121454b38507888
136a884cb6836a
1430386dcdbdd6
15162e49e6a235
hexb1df0d2f028

12223222313000 has 64 divisors (see below), whose sum is σ = 28603322439120. Its totient is φ = 4889121024000.

The previous prime is 12223222312991. The next prime is 12223222313011. The reversal of 12223222313000 is 31322232221.

It can be written as a sum of positive squares in 8 ways, for example, as 962647473316 + 11260574839684 = 981146^2 + 3355678^2 .

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, 31286864 + ... + 31675136.

Almost surely, 212223222313000 is an apocalyptic number.

12223222313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223222313000 is an abundant number, since it is smaller than the sum of its proper divisors (16380100126120).

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

12223222313000 is a wasteful number, since it uses less digits than its factorization.

12223222313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419775 (or 419761 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12223222313000 its reverse (31322232221), we get a palindrome (12254544545221).

The spelling of 12223222313000 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 31481 62962 125924 157405 251848 314810 388273 629620 776546 787025 1259240 1553092 1574050 1941365 3106184 3148100 3882730 3935125 6296200 7765460 7870250 9706825 15530920 15740500 19413650 31481000 38827300 48534125 77654600 97068250 194136500 388273000 12223222313 24446444626 48892889252 61116111565 97785778504 122232223130 244464446260 305580557825 488928892520 611161115650 1222322231300 1527902789125 2444644462600 3055805578250 6111611156500 12223222313000