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30302220221300 = 22523797769109793
BaseRepresentation
bin1101110001111010010010…
…00100100111101101110100
310222021212022211100201021202
412320331021010213231310
512432432421334040200
6144240351531232032
76245156160031136
oct670751104475564
9128255284321252
1030302220221300
119723110379495
1234949342a8618
1313ba64422c571
1476a8c7311056
1537836c34b1d5
hex1b8f49127b74

30302220221300 has 144 divisors (see below), whose sum is σ = 68318565509040. Its totient is φ = 11656432189440.

The previous prime is 30302220221297. The next prime is 30302220221363. The reversal of 30302220221300 is 312202220303.

It can be written as a sum of positive squares in 24 ways, for example, as 7736642116324 + 22565578104976 = 2781482^2 + 4750324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 275939204 + ... + 276048996.

Almost surely, 230302220221300 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 30302220221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34159282754520).

30302220221300 is an abundant number, since it is smaller than the sum of its proper divisors (38016345287740).

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

30302220221300 is a wasteful number, since it uses less digits than its factorization.

30302220221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110710 (or 110703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30302220221300 its reverse (312202220303), we get a palindrome (30614422441603).

The spelling of 30302220221300 in words is "thirty trillion, three hundred two billion, two hundred twenty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 97 100 148 185 194 370 388 485 740 769 925 970 1538 1850 1940 2425 3076 3589 3700 3845 4850 7178 7690 9700 14356 15380 17945 19225 28453 35890 38450 56906 71780 74593 76900 89725 109793 113812 142265 149186 179450 219586 284530 298372 358900 372965 439172 548965 569060 711325 745930 1097930 1422650 1491860 1864825 2195860 2744825 2759941 2845300 3729650 4062341 5489650 5519882 7459300 8124682 10649921 10979300 11039764 13799705 16249364 20311705 21299842 27599410 40623410 42599684 53249605 55198820 68998525 81246820 84430817 101558525 106499210 137997050 168861634 203117050 212998420 266248025 275994100 337723268 394047077 406234100 422154085 532496050 788094154 844308170 1064992100 1576188308 1688616340 1970235385 2110770425 3123940229 3940470770 4221540850 6247880458 7880941540 8189789249 8443081700 9851176925 12495760916 15619701145 16379578498 19702353850 31239402290 32759156996 39404707700 40948946245 62478804580 78098505725 81897892490 156197011450 163795784980 204744731225 303022202213 312394022900 409489462450 606044404426 818978924900 1212088808852 1515111011065 3030222022130 6060444044260 7575555055325 15151110110650 30302220221300