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12300031321020 = 22325737011335343
BaseRepresentation
bin1011001011111101001011…
…1111110110001110111100
31121112212112022221101220100
42302333102333312032330
53103010431004233040
642054320102321100
72406435146114652
oct262772277661674
947485468841810
1012300031321020
113a12461024043
1214679b3729190
136b2b70b66831
14307478d54dd2
15164e43219b30
hexb2fd2ff63bc

12300031321020 has 144 divisors (see below), whose sum is σ = 37875173761152. Its totient is φ = 3230459366400.

The previous prime is 12300031320959. The next prime is 12300031321049. The reversal of 12300031321020 is 2012313000321.

12300031321020 is a `hidden beast` number, since 12 + 300 + 0 + 31 + 321 + 0 + 2 + 0 = 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 = 12300031320984 and 12300031321002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8543469 + ... + 9878811.

It is an arithmetic number, because the mean of its divisors is an integer number (263022040008).

Almost surely, 212300031321020 is an apocalyptic number.

12300031321020 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 12300031321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937586880576).

12300031321020 is an abundant number, since it is smaller than the sum of its proper divisors (25575142440132).

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

12300031321020 is a wasteful number, since it uses less digits than its factorization.

12300031321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336132 (or 1336127 counting only the distinct ones).

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

Adding to 12300031321020 its reverse (2012313000321), we get a palindrome (14312344321341).

The spelling of 12300031321020 in words is "twelve trillion, three hundred billion, thirty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 701 730 876 1095 1314 1402 1460 2103 2190 2628 2804 3285 3505 4206 4380 6309 6570 7010 8412 10515 12618 13140 14020 21030 25236 31545 42060 51173 63090 102346 126180 153519 204692 255865 307038 460557 511730 614076 767595 921114 1023460 1335343 1535190 1842228 2302785 2670686 3070380 4006029 4605570 5341372 6676715 8012058 9211140 12018087 13353430 16024116 20030145 24036174 26706860 40060290 48072348 60090435 80120580 97480039 120180870 194960078 240361740 292440117 389920156 487400195 584880234 877320351 936075443 974800390 1169760468 1462200585 1754640702 1872150886 1949600780 2808226329 2924401170 3509281404 3744301772 4386601755 4680377215 5616452658 5848802340 8424678987 8773203510 9360754430 11232905316 14041131645 16849357974 17546407020 18721508860 28082263290 33698715948 42123394935 56164526580 68333507339 84246789870 136667014678 168493579740 205000522017 273334029356 341667536695 410001044034 615001566051 683335073390 820002088068 1025002610085 1230003132102 1366670146780 2050005220170 2460006264204 3075007830255 4100010440340 6150015660510 12300031321020