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231330031020 = 2232511367318347
BaseRepresentation
bin1101011101110001011…
…0000010010110101100
3211010002210021011102200
43113130112002112230
512242230441443040
6254134353221500
722466400551214
oct3273426022654
9733083234380
10231330031020
118a119854220
12389bbb61890
1318a7810537a
14b2a7027244
15603dc21630
hex35dc5825ac

231330031020 has 144 divisors (see below), whose sum is σ = 767580323328. Its totient is φ = 55927025280.

The previous prime is 231330031013. The next prime is 231330031033. The reversal of 231330031020 is 20130033132.

231330031020 is a `hidden beast` number, since 2 + 3 + 1 + 330 + 0 + 310 + 20 = 666.

231330031020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 231330030984 and 231330031002.

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 47 ways as a sum of consecutive naturals, for example, 567487 + ... + 885833.

It is an arithmetic number, because the mean of its divisors is an integer number (5330418912).

Almost surely, 2231330031020 is an apocalyptic number.

231330031020 is a gapful number since it is divisible by the number (20) 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 231330031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383790161664).

231330031020 is an abundant number, since it is smaller than the sum of its proper divisors (536250292308).

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

231330031020 is a wasteful number, since it uses less digits than its factorization.

231330031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318740 (or 318735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 231330031020 its reverse (20130033132), we get a palindrome (251460064152).

The spelling of 231330031020 in words is "two hundred thirty-one billion, three hundred thirty million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 367 396 495 660 734 990 1101 1468 1835 1980 2202 3303 3670 4037 4404 5505 6606 7340 8074 11010 12111 13212 16148 16515 20185 22020 24222 33030 36333 40370 48444 60555 66060 72666 80740 121110 145332 181665 242220 318347 363330 636694 726660 955041 1273388 1591735 1910082 2865123 3183470 3501817 3820164 4775205 5730246 6366940 7003634 9550410 10505451 11460492 14007268 14325615 17509085 19100820 21010902 28651230 31516353 35018170 42021804 52527255 57302460 63032706 70036340 105054510 116833349 126065412 157581765 210109020 233666698 315163530 350500047 467333396 584166745 630327060 701000094 1051500141 1168333490 1285166839 1402000188 1752500235 2103000282 2336666980 2570333678 3505000470 3855500517 4206000564 5140667356 5257500705 6425834195 7010000940 7711001034 10515001410 11566501551 12851668390 15422002068 19277502585 21030002820 23133003102 25703336780 38555005170 46266006204 57832507755 77110010340 115665015510 231330031020