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120240301230 = 23357211130137
BaseRepresentation
bin110111111111011100…
…0010110010010101110
3102111100202100011211000
41233332320112102232
53432223004114410
6131123154541130
711454444461040
oct1577670262256
9374322304730
10120240301230
1146aa2573a85
121b3782977a6
13b452c1234a
145b69219a90
1531db120dc0
hex1bfee164ae

120240301230 has 128 divisors (see below), whose sum is σ = 366632386560. Its totient is φ = 27469566720.

The previous prime is 120240301217. The next prime is 120240301253. The reversal of 120240301230 is 32103042021.

120240301230 is a `hidden beast` number, since 120 + 240 + 301 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×1202403012302 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3974722 + ... + 4004858.

It is an arithmetic number, because the mean of its divisors is an integer number (2864315520).

Almost surely, 2120240301230 is an apocalyptic number.

120240301230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120240301230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183316193280).

120240301230 is an abundant number, since it is smaller than the sum of its proper divisors (246392085330).

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

120240301230 is a wasteful number, since it uses less digits than its factorization.

120240301230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32271 (or 32265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120240301230 its reverse (32103042021), we get a palindrome (152343343251).

The spelling of 120240301230 in words is "one hundred twenty billion, two hundred forty million, three hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2111 4222 6333 10555 12666 14777 18999 21110 29554 30137 31665 37998 44331 56997 60274 63330 73885 88662 90411 94995 113994 132993 147770 150685 180822 189990 210959 221655 265986 271233 284985 301370 398979 421918 443310 452055 542466 569970 632877 664965 797958 813699 904110 1054795 1265754 1329930 1356165 1627398 1898631 1994895 2109590 2712330 3164385 3797262 3989790 4068495 5695893 6328770 8136990 9493155 11391786 18986310 28479465 56958930 63619207 127238414 190857621 318096035 381715242 445334449 572572863 636192070 890668898 954288105 1145145726 1336003347 1717718589 1908576210 2226672245 2672006694 2862864315 3435437178 4008010041 4453344490 5725728630 6680016735 8016020082 8588592945 12024030123 13360033470 17177185890 20040050205 24048060246 40080100410 60120150615 120240301230