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123333031120 = 245131011318963
BaseRepresentation
bin111001011011100111…
…0001011010011010000
3102210100021212010122111
41302313032023103100
54010041223443440
6132354114515104
711624210316205
oct1626716132320
9383307763574
10123333031120
114833a30a7a2
121ba9bb95a94
13b826893230
145d7dc7dcac
15331c8d04ea
hex1cb738b4d0

123333031120 has 160 divisors (see below), whose sum is σ = 314280134784. Its totient is φ = 44738304000.

The previous prime is 123333031099. The next prime is 123333031153. The reversal of 123333031120 is 21130333321.

It is a super-2 number, since 2×1233330311202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123333031091 and 123333031100.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13755759 + ... + 13764721.

Almost surely, 2123333031120 is an apocalyptic number.

123333031120 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 123333031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157140067392).

123333031120 is an abundant number, since it is smaller than the sum of its proper divisors (190947103664).

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

123333031120 is a wasteful number, since it uses less digits than its factorization.

123333031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 123333031120 its reverse (21130333321), we get a palindrome (144463364441).

The spelling of 123333031120 in words is "one hundred twenty-three billion, three hundred thirty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 131 202 208 260 262 404 505 520 524 655 808 1010 1040 1048 1310 1313 1616 1703 2020 2096 2620 2626 3406 4040 5240 5252 6565 6812 8080 8515 8963 10480 10504 13130 13231 13624 17030 17926 21008 26260 26462 27248 34060 35852 44815 52520 52924 66155 68120 71704 89630 105040 105848 116519 132310 136240 143408 172003 179260 211696 233038 264620 344006 358520 466076 529240 582595 688012 717040 860015 905263 932152 1058480 1165190 1174153 1376024 1720030 1810526 1864304 2330380 2348306 2752048 3440060 3621052 4526315 4660760 4696612 5870765 6880120 7242104 9052630 9321520 9393224 11741530 11768419 13760240 14484208 15263989 18105260 18786448 23483060 23536838 30527978 36210520 46966120 47073676 58842095 61055956 72421040 76319945 93932240 94147352 117684190 118589453 122111912 152639890 188294704 235368380 237178906 244223824 305279780 470736760 474357812 592947265 610559560 941473520 948715624 1185894530 1221119120 1541662889 1897431248 2371789060 3083325778 4743578120 6166651556 7708314445 9487156240 12333303112 15416628890 24666606224 30833257780 61666515560 123333031120