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20231302101300 = 223252124331808029
BaseRepresentation
bin1001001100110011101111…
…00100110011100100110100
32122122002112020011200201100
410212121313210303210310
510122432201314220200
6111010044252530100
74155443345316303
oct446316744634464
978562466150640
1020231302101300
1164a0057675244
122328b66180930
13b39a5a68a534
144dd2b369443a
152513e13dbd00
hex126677933934

20231302101300 has 108 divisors (see below), whose sum is σ = 63419028001420. Its totient is φ = 5394576983040.

The previous prime is 20231302101287. The next prime is 20231302101301. The reversal of 20231302101300 is 310120313202.

20231302101300 is a `hidden beast` number, since 2 + 0 + 23 + 130 + 210 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2760289833744 + 17471012267556 = 1661412^2 + 4179834^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231302101301) 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 35 ways as a sum of consecutive naturals, for example, 10285686 + ... + 12093714.

Almost surely, 220231302101300 is an apocalyptic number.

20231302101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231302101300 is an abundant number, since it is smaller than the sum of its proper divisors (43187725900120).

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

20231302101300 is a wasteful number, since it uses less digits than its factorization.

20231302101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820482 (or 1820472 counting only the distinct ones).

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

Adding to 20231302101300 its reverse (310120313202), we get a palindrome (20541422414502).

The spelling of 20231302101300 in words is "twenty trillion, two hundred thirty-one billion, three hundred two million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12433 24866 37299 49732 62165 74598 111897 124330 149196 186495 223794 248660 310825 372990 447588 559485 621650 745980 932475 1118970 1243300 1808029 1864950 2237940 2797425 3616058 3729900 5424087 5594850 7232116 9040145 10848174 11189700 16272261 18080290 21696348 27120435 32544522 36160580 45200725 54240870 65089044 81361305 90401450 108481740 135602175 162722610 180802900 271204350 325445220 406806525 542408700 813613050 1627226100 22479224557 44958449114 67437673671 89916898228 112396122785 134875347342 202313021013 224792245570 269750694684 337188368355 404626042026 449584491140 561980613925 674376736710 809252084052 1011565105065 1123961227850 1348753473420 1685941841775 2023130210130 2247922455700 3371883683550 4046260420260 5057825525325 6743767367100 10115651050650 20231302101300