Search a number
-
+
223101111312 = 24325966139727
BaseRepresentation
bin1100111111000111011…
…1001100110000010000
3210022212022002201201200
43033301313030300100
512123402341030222
6250254035031200
722055440104522
oct3176167146020
9708768081650
10223101111312
1186686841032
12372a413b500
1318066320901
14ab261ada12
155c0b5a7eac
hex33f1dccc10

223101111312 has 120 divisors (see below), whose sum is σ = 635932452480. Its totient is φ = 72994141440.

The previous prime is 223101111281. The next prime is 223101111323. The reversal of 223101111312 is 213111101322.

223101111312 is a `hidden beast` number, since 22 + 310 + 11 + 11 + 312 = 666.

223101111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231011113123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5595993 + ... + 5635719.

It is an arithmetic number, because the mean of its divisors is an integer number (5299437104).

Almost surely, 2223101111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223101111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317966226240).

223101111312 is an abundant number, since it is smaller than the sum of its proper divisors (412831341168).

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

223101111312 is a wasteful number, since it uses less digits than its factorization.

223101111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40461 (or 40452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 223101111312 its reverse (213111101322), we get a palindrome (436212212634).

The spelling of 223101111312 in words is "two hundred twenty-three billion, one hundred one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 661 708 944 1062 1322 1416 1983 2124 2644 2832 3966 4248 5288 5949 7932 8496 10576 11898 15864 23796 31728 38999 39727 47592 77998 79454 95184 116997 119181 155996 158908 233994 238362 311992 317816 350991 357543 467988 476724 623984 635632 701982 715086 935976 953448 1403964 1430172 1871952 1906896 2343893 2807928 2860344 4687786 5615856 5720688 7031679 9375572 14063358 18751144 21095037 26259547 28126716 37502288 42190074 52519094 56253432 78778641 84380148 105038188 112506864 157557282 168760296 210076376 236335923 315114564 337520592 420152752 472671846 630229128 945343692 1260458256 1549313273 1890687384 3098626546 3781374768 4647939819 6197253092 9295879638 12394506184 13943819457 18591759276 24789012368 27887638914 37183518552 55775277828 74367037104 111550555656 223101111312