Search a number
-
+
123301230010020 = 2232519277130155203
BaseRepresentation
bin11100000010010001001110…
…000000111101111010100100
3121011120111000201110022200100
4130002101032000331322210
5112130131404340310040
61114123445244544100
734654135265241636
oct3402211600757244
9534514021408610
10123301230010020
113631883797a997
12119b4730552030
1353a534385934a
142263b505aaa56
15e3c534520b30
hex70244e03dea4

123301230010020 has 144 divisors (see below), whose sum is σ = 395119962095040. Its totient is φ = 31037330089728.

The previous prime is 123301230009967. The next prime is 123301230010067. The reversal of 123301230010020 is 20010032103321.

123301230010020 is a `hidden beast` number, since 1 + 2 + 330 + 1 + 2 + 300 + 10 + 0 + 20 = 666.

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 = 123301230009975 and 123301230010002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64130262 + ... + 66024941.

It is an arithmetic number, because the mean of its divisors is an integer number (2743888625660).

Almost surely, 2123301230010020 is an apocalyptic number.

123301230010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301230010020 is an abundant number, since it is smaller than the sum of its proper divisors (271818732085020).

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

123301230010020 is a wasteful number, since it uses less digits than its factorization.

123301230010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130155514 (or 130155509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123301230010020 its reverse (20010032103321), we get a palindrome (143311262113341).

The spelling of 123301230010020 in words is "one hundred twenty-three trillion, three hundred one billion, two hundred thirty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 277 285 342 380 554 570 684 831 855 1108 1140 1385 1662 1710 2493 2770 3324 3420 4155 4986 5263 5540 8310 9972 10526 12465 15789 16620 21052 24930 26315 31578 47367 49860 52630 63156 78945 94734 105260 157890 189468 236835 315780 473670 947340 130155203 260310406 390465609 520620812 650776015 780931218 1171396827 1301552030 1561862436 1952328045 2342793654 2472948857 2603104060 3904656090 4685587308 4945897714 5856984135 7418846571 7809312180 9891795428 11713968270 12364744285 14837693142 22256539713 23427936540 24729488570 29675386284 36052991231 37094232855 44513079426 49458977140 72105982462 74188465710 89026158852 108158973693 111282698565 144211964924 148376931420 180264956155 216317947386 222565397130 324476921079 360529912310 432635894772 445130794260 540794868465 648953842158 685006833389 721059824620 1081589736930 1297907684316 1370013666778 1622384605395 2055020500167 2163179473860 2740027333556 3244769210790 3425034166945 4110041000334 6165061500501 6489538421580 6850068333890 8220082000668 10275102500835 12330123001002 13700136667780 20550205001670 24660246002004 30825307502505 41100410003340 61650615005010 123301230010020