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123311212020 = 2232537154911953
BaseRepresentation
bin111001011010111101…
…0111100010111110100
3102210021202210121110200
41302311322330113310
54010020132241040
6132352015120500
711623524002523
oct1626572742764
9383252717420
10123311212020
1148328a67787
121ba94813130
13b8221c3b19
145d7b0004ba
15331aa20630
hex1cb5ebc5f4

123311212020 has 144 divisors (see below), whose sum is σ = 384433467600. Its totient is φ = 31970930688.

The previous prime is 123311211977. The next prime is 123311212027. The reversal of 123311212020 is 20212113321.

123311212020 is a `hidden beast` number, since 12 + 331 + 121 + 202 + 0 = 666.

123311212020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11537337744 + 111773874276 = 107412^2 + 334326^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 123311211984 and 123311212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10310364 + ... + 10322316.

Almost surely, 2123311212020 is an apocalyptic number.

123311212020 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 123311212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192216733800).

123311212020 is an abundant number, since it is smaller than the sum of its proper divisors (261122255580).

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

123311212020 is a wasteful number, since it uses less digits than its factorization.

123311212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123311212020 its reverse (20212113321), we get a palindrome (143523325341).

The spelling of 123311212020 in words is "one hundred twenty-three billion, three hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1549 1665 2220 3098 3330 4647 6196 6660 7745 9294 11953 13941 15490 18588 23235 23906 27882 30980 35859 46470 47812 55764 57313 59765 69705 71718 92940 107577 114626 119530 139410 143436 171939 179295 215154 229252 239060 278820 286565 343878 358590 430308 442261 515817 537885 573130 687756 717180 859695 884522 1031634 1075770 1146260 1326783 1719390 1769044 2063268 2151540 2211305 2579085 2653566 3438780 3980349 4422610 5158170 5307132 6633915 7960698 8845220 10316340 13267830 15921396 18515197 19901745 26535660 37030394 39803490 55545591 74060788 79606980 92575985 111091182 166636773 185151970 222182364 277727955 333273546 370303940 555455910 666547092 685062289 833183865 1110911820 1370124578 1666367730 2055186867 2740249156 3332735460 3425311445 4110373734 6165560601 6850622890 8220747468 10275934335 12331121202 13701245780 20551868670 24662242404 30827803005 41103737340 61655606010 123311212020