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30223321012300 = 225213791489197641
BaseRepresentation
bin1101101111100111010100…
…10100000001100001001100
310222000022200012120121122211
412313303222110001201030
512430134330134343200
6144140222455320204
76236364032565553
oct667635224014114
9128008605517584
1030223321012300
1196a2702877a39
123481595080064
1313b307c194490
14766b6083cd9a
153762a081caba
hex1b7cea50184c

30223321012300 has 144 divisors (see below), whose sum is σ = 71572018403200. Its totient is φ = 11010666700800.

The previous prime is 30223321012273. The next prime is 30223321012301. The reversal of 30223321012300 is 321012332203.

It is not an unprimeable number, because it can be changed into a prime (30223321012301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152821480 + ... + 153019120.

Almost surely, 230223321012300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30223321012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35786009201600).

30223321012300 is an abundant number, since it is smaller than the sum of its proper divisors (41348697390900).

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

30223321012300 is a wasteful number, since it uses less digits than its factorization.

30223321012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199236 (or 199229 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 30223321012300 its reverse (321012332203), we get a palindrome (30544333344503).

The spelling of 30223321012300 in words is "thirty trillion, two hundred twenty-three billion, three hundred twenty-one million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 260 316 325 395 650 790 1027 1300 1489 1580 1975 2054 2978 3950 4108 5135 5956 7445 7900 10270 14890 19357 20540 25675 29780 37225 38714 51350 74450 77428 96785 102700 117631 148900 193570 197641 235262 387140 395282 470524 483925 588155 790564 967850 988205 1176310 1529203 1935700 1976410 2352620 2569333 2940775 3058406 3952820 4941025 5138666 5881550 6116812 7646015 9882050 10277332 11763100 12846665 15292030 15613639 19764100 25693330 30584060 31227278 38230075 51386660 62454556 64233325 76460150 78068195 128466650 152920300 156136390 202977307 256933300 294287449 312272780 390340975 405954614 588574898 780681950 811909228 1014886535 1177149796 1471437245 1561363900 2029773070 2942874490 3825736837 4059546140 5074432675 5885748980 7357186225 7651473674 10148865350 14714372450 15302947348 19128684185 20297730700 23248708471 29428744900 38257368370 46497416942 76514736740 92994833884 95643420925 116243542355 191286841850 232487084710 302233210123 382573683700 464974169420 581217711775 604466420246 1162435423550 1208932840492 1511166050615 2324870847100 3022332101230 6044664202460 7555830253075 15111660506150 30223321012300