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113103230002020 = 223252928337648177
BaseRepresentation
bin11001101101110111100101…
…110110001110001101100100
3112211110120012120021111121100
4121231313211312032031210
5104311040403340031040
61040314523452320100
732552303322356646
oct3155674566161544
9484416176244540
10113103230002020
11330468a0817325
12108281b6a73030
134b1578685549b
141dd0322c52896
15d1211ba18b30
hex66dde5d8e364

113103230002020 has 144 divisors (see below), whose sum is σ = 355035459083760. Its totient is φ = 29110548676608.

The previous prime is 113103230002019. The next prime is 113103230002039. The reversal of 113103230002020 is 20200032301311.

113103230002020 is a `hidden beast` number, since 1 + 1 + 310 + 32 + 300 + 0 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15060794918976 + 98042435083044 = 3880824^2 + 9901638^2 .

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 = 113103230001984 and 113103230002002.

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, 10964172 + ... + 18612348.

It is an arithmetic number, because the mean of its divisors is an integer number (2465524021415).

Almost surely, 2113103230002020 is an apocalyptic number.

113103230002020 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 113103230002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177517729541880).

113103230002020 is an abundant number, since it is smaller than the sum of its proper divisors (241932229081740).

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

113103230002020 is a wasteful number, since it uses less digits than its factorization.

113103230002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651054 (or 7651049 counting only the distinct ones).

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

Adding to 113103230002020 its reverse (20200032301311), we get a palindrome (133303262303331).

The spelling of 113103230002020 in words is "one hundred thirteen trillion, one hundred three billion, two hundred thirty million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 2833 5220 5666 8499 11332 14165 16998 25497 28330 33996 42495 50994 56660 82157 84990 101988 127485 164314 169980 246471 254970 328628 410785 492942 509940 739413 821570 985884 1232355 1478826 1643140 2464710 2957652 3697065 4929420 7394130 7648177 14788260 15296354 22944531 30592708 38240885 45889062 68833593 76481770 91778124 114722655 137667186 152963540 221797133 229445310 275334372 344167965 443594266 458890620 665391399 688335930 887188532 1108985665 1330782798 1376671860 1996174197 2217971330 2661565596 3326956995 3992348394 4435942660 6653913990 7984696788 9980870985 13307827980 19961741970 21667285441 39923483940 43334570882 65001856323 86669141764 108336427205 130003712646 195005568969 216672854410 260007425292 325009281615 390011137938 433345708820 628351277789 650018563230 780022275876 975027844845 1256702555578 1300037126460 1885053833367 1950055689690 2513405111156 3141756388945 3770107666734 3900111379380 5655161500101 6283512777890 7540215333468 9425269166835 11310323000202 12567025555780 18850538333670 22620646000404 28275807500505 37701076667340 56551615001010 113103230002020